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Finding the Fourth Proportional to 787.49, 1,086.29 and 492.25

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Solution

The fourth proportional to 787.49, 1,086.29 and 492.25 is: 679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.49 : 1,086.29 = 492.25 : x
  2. Step 2: Convert to fraction form
    787.49/1,086.29 = 492.25/x
  3. Step 3: Cross multiply
    787.49x = 1,086.29 × 492.25
  4. Step 4: Simplify right side
    787.49x = 534,726.54
  5. Step 5: Solve for x
    x = 534,726.54/787.49
  6. Step 6: Final answer
    x = 679.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.