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Update: Here are a couple of sites you can visit to listen to recordings of the spoken prayers in Latin:
Catholic iPod, Catholic Prayers in Latin
Audio Recording of Latin Catholic Prayers
From the first site I downloaded files onto my mp3 player for easy listening. (Instructions for downloading are given on the site.) Hearing the Latin spoken by someone who knows correct pronunciation really helps in learning the prayers. The second site states that the material is copyrighted and the author does not encourage downloading. But listening from the site is another option.
Of course there are many other resources online. These are just two that I found in a brief search when I began learning Latin. Another option would be finding a phonetic pronunciation guide for each prayer as a visual aide.The important thing is to find a method that works for you and that utilizes the resources you have at your disposal.