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Finding the Fourth Proportional to 724.16, 1,080.88 and 638.72

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Solution

The fourth proportional to 724.16, 1,080.88 and 638.72 is: 953.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.16 : 1,080.88 = 638.72 : x
  2. Step 2: Convert to fraction form
    724.16/1,080.88 = 638.72/x
  3. Step 3: Cross multiply
    724.16x = 1,080.88 × 638.72
  4. Step 4: Simplify right side
    724.16x = 690,379.67
  5. Step 5: Solve for x
    x = 690,379.67/724.16
  6. Step 6: Final answer
    x = 953.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.