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Finding the Fourth Proportional to 724.38, 1,084.14 and 492.32

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Solution

The fourth proportional to 724.38, 1,084.14 and 492.32 is: 736.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.38 : 1,084.14 = 492.32 : x
  2. Step 2: Convert to fraction form
    724.38/1,084.14 = 492.32/x
  3. Step 3: Cross multiply
    724.38x = 1,084.14 × 492.32
  4. Step 4: Simplify right side
    724.38x = 533,738.38
  5. Step 5: Solve for x
    x = 533,738.38/724.38
  6. Step 6: Final answer
    x = 736.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.