Try using watered down white glue. After dried if you intend
to use the ribbon in an application that requires it to get
wet again this probably won't work. I've never done it this
way because I usually use fray check too. Aleene's also makes
a product called Stop Fraying Glue. Hope this helps!

You might try Aleeenes "OK to Wash it Glue"

If you have an old pair of rick rack scissors, and you cut your ribbon on an angle you should find it stops the fraying. I have a pair of these scissors that were my Grandmother's and they are still going strong.
SJ

If the ribbon is satin or grosgrain (not organza) you can heat set the edge with the flame of a lighter. Be careful the painted on polk-a-dots will ignite. Basically it melts the edge and creates a hard line, but it looks better than fray check.
Susan

How about suger glue