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Finding the Fourth Proportional to 872.61, 1,308.87 and 324.90

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Solution

The fourth proportional to 872.61, 1,308.87 and 324.90 is: 487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.61 : 1,308.87 = 324.90 : x
  2. Step 2: Convert to fraction form
    872.61/1,308.87 = 324.90/x
  3. Step 3: Cross multiply
    872.61x = 1,308.87 × 324.90
  4. Step 4: Simplify right side
    872.61x = 425,251.86
  5. Step 5: Solve for x
    x = 425,251.86/872.61
  6. Step 6: Final answer
    x = 487.33

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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.