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Finding the Fourth Proportional to 1,432.38, 2,149.44 and 566.76

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Solution

The fourth proportional to 1,432.38, 2,149.44 and 566.76 is: 850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.38 : 2,149.44 = 566.76 : x
  2. Step 2: Convert to fraction form
    1,432.38/2,149.44 = 566.76/x
  3. Step 3: Cross multiply
    1,432.38x = 2,149.44 × 566.76
  4. Step 4: Simplify right side
    1,432.38x = 1,218,216.61
  5. Step 5: Solve for x
    x = 1,218,216.61/1,432.38
  6. Step 6: Final answer
    x = 850.48

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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.