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Finding the Fourth Proportional to 787.50, 1,086.84 and 477

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Solution

The fourth proportional to 787.50, 1,086.84 and 477 is: 658.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.50 : 1,086.84 = 477 : x
  2. Step 2: Convert to fraction form
    787.50/1,086.84 = 477/x
  3. Step 3: Cross multiply
    787.50x = 1,086.84 × 477
  4. Step 4: Simplify right side
    787.50x = 518,422.68
  5. Step 5: Solve for x
    x = 518,422.68/787.50
  6. Step 6: Final answer
    x = 658.31

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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.