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Finding the Fourth Proportional to 787.41, 1,084.16 and 669.15

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Solution

The fourth proportional to 787.41, 1,084.16 and 669.15 is: 921.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.41 : 1,084.16 = 669.15 : x
  2. Step 2: Convert to fraction form
    787.41/1,084.16 = 669.15/x
  3. Step 3: Cross multiply
    787.41x = 1,084.16 × 669.15
  4. Step 4: Simplify right side
    787.41x = 725,456.90
  5. Step 5: Solve for x
    x = 725,456.90/787.41
  6. Step 6: Final answer
    x = 921.33

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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.