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Images can't be any inches wide or tall on screen. It's all relative. The image is either 750 pixels wide or it is not. What you are probably running into is the fact that Photoshop is HiDPI enabled (Retina) and so the native size appears smaller in Photoshop than what you would see in other applications that are not HiDPI enabled. The size difference should be a factor of two. If what is called for is 750 pixels, make sure that is the setting for the file. Whether viewed in Photoshop or any other application it is still 750 pixels, which doesn't directly relate to relative screen size.
Okay thank you for explaining that! Though, I really get the feeling that the image on my website has worse quality than the image in photoshop. It doesnt look smooth, but more, grainy and almost a little pixely.
Also, is there a way i can change this setting in Photoshop? (HiDPI enabled (Retina))
On Mac, you can disable an application from using Retina by doing a Get Info on the application file. There will be an option to "Open in Low Resolution". More info is here: http://support.apple.com/kb/ht5266