diff --git a/modules/juce_audio_devices/native/juce_HighPerformanceAudioHelpers_android.h b/modules/juce_audio_devices/native/juce_HighPerformanceAudioHelpers_android.h
index c76f96d6e9..7f93f9f7ea 100644
--- a/modules/juce_audio_devices/native/juce_HighPerformanceAudioHelpers_android.h
+++ b/modules/juce_audio_devices/native/juce_HighPerformanceAudioHelpers_android.h
@@ -65,7 +65,7 @@ namespace AndroidHighPerformanceAudioHelpers
     static bool canUseHighPerformanceAudioPath (int nativeBufferSize, int requestedBufferSize, int requestedSampleRate)
     {
         return ((requestedBufferSize % nativeBufferSize) == 0)
-               && (requestedSampleRate == getNativeSampleRate())
+               && approximatelyEqual ((double) requestedSampleRate, getNativeSampleRate())
                && isProAudioDevice();
     }
 
diff --git a/modules/juce_dsp/native/juce_SIMDNativeOps_fallback.h b/modules/juce_dsp/native/juce_SIMDNativeOps_fallback.h
index 595e02e049..22d1917a62 100644
--- a/modules/juce_dsp/native/juce_SIMDNativeOps_fallback.h
+++ b/modules/juce_dsp/native/juce_SIMDNativeOps_fallback.h
@@ -147,7 +147,7 @@ struct SIMDFallbackOps
         UnionType a {av}, b {bv};
 
         for (size_t i = 0; i < n; ++i)
-            if (a.s[i] != b.s[i])
+            if (! exactlyEqual (a.s[i], b.s[i]))
                 return false;
 
         return true;
@@ -181,8 +181,8 @@ struct SIMDFallbackOps
     struct ScalarOr  { static forcedinline MaskType     op (MaskType a,   MaskType b)     noexcept { return a | b; } };
     struct ScalarXor { static forcedinline MaskType     op (MaskType a,   MaskType b)     noexcept { return a ^ b; } };
     struct ScalarNot { static forcedinline MaskType     op (MaskType a,   MaskType b)     noexcept { return (~a) & b; } };
-    struct ScalarEq  { static forcedinline bool         op (ScalarType a, ScalarType b)   noexcept { return (a == b); } };
-    struct ScalarNeq { static forcedinline bool         op (ScalarType a, ScalarType b)   noexcept { return (a != b); } };
+    struct ScalarEq  { static forcedinline bool         op (ScalarType a, ScalarType b)   noexcept { return exactlyEqual (a, b); } };
+    struct ScalarNeq { static forcedinline bool         op (ScalarType a, ScalarType b)   noexcept { return ! exactlyEqual (a, b); } };
     struct ScalarGt  { static forcedinline bool         op (ScalarType a, ScalarType b)   noexcept { return (a >  b); } };
     struct ScalarGeq { static forcedinline bool         op (ScalarType a, ScalarType b)   noexcept { return (a >= b); } };
 
diff --git a/modules/juce_video/native/juce_Video_android.h b/modules/juce_video/native/juce_Video_android.h
index 56d94bbb9a..0ffc092c3b 100644
--- a/modules/juce_video/native/juce_Video_android.h
+++ b/modules/juce_video/native/juce_Video_android.h
@@ -921,7 +921,7 @@ private:
                 auto* env = getEnv();
 
                 // Perform a potentially pending volume setting
-                if (lastAudioVolume != std::numeric_limits<float>::min())
+                if (! exactlyEqual (lastAudioVolume, std::numeric_limits<float>::min()))
                     env->CallVoidMethod (nativeMediaPlayer, AndroidMediaPlayer.setVolume, (jfloat) lastAudioVolume, (jfloat) lastAudioVolume);
 
                 env->CallVoidMethod (nativeMediaPlayer, AndroidMediaPlayer.start);