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Finding the Fourth Proportional to 787.38, 1,084.76 and 656.16

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Solution

The fourth proportional to 787.38, 1,084.76 and 656.16 is: 903.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.38 : 1,084.76 = 656.16 : x
  2. Step 2: Convert to fraction form
    787.38/1,084.76 = 656.16/x
  3. Step 3: Cross multiply
    787.38x = 1,084.76 × 656.16
  4. Step 4: Simplify right side
    787.38x = 711,776.12
  5. Step 5: Solve for x
    x = 711,776.12/787.38
  6. Step 6: Final answer
    x = 903.98

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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.