Gandalf's Ring

First of all the ring was forgotten by people, not by the other rings of power. The ring of power did not lose any power at all, Isildur guessed that the ring missed the heat from Sauron's hand and that is why the fire writting had vanished. But time had no effect on the ring, and would not have had any effect on the relationship between the three rings of the elves and the ring of power.

If the ring that Gandalf wore did not have much to do with his forboding and forsight then what can it be attributed to?

Some will say "Eru's design", I wonder is there any other opinions on how Gandalf knew that certain actions would effect the course of the future, whether he knew it had to do with the ring or not.

Also in the UT, the hunt for the ring (iii) Concerning Gandalf , Saruman and the shire, there is a very strange conversation at the white council where Gandalf blows some rings of smoke at Saruman and reaches out to grasp at them and they vanish.

This is more evidence that Gandalf, wether consciously or not, knew that the Hobbits were somehow involved with the future of the ring.