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Finding the Fourth Proportional to 872.24, 1,306.68 and 487.76

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Solution

The fourth proportional to 872.24, 1,306.68 and 487.76 is: 730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.24 : 1,306.68 = 487.76 : x
  2. Step 2: Convert to fraction form
    872.24/1,306.68 = 487.76/x
  3. Step 3: Cross multiply
    872.24x = 1,306.68 × 487.76
  4. Step 4: Simplify right side
    872.24x = 637,346.24
  5. Step 5: Solve for x
    x = 637,346.24/872.24
  6. Step 6: Final answer
    x = 730.70

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