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Finding the Fourth Proportional to 1,432.97, 2,149.53 and 459.15

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Solution

The fourth proportional to 1,432.97, 2,149.53 and 459.15 is: 688.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.97 : 2,149.53 = 459.15 : x
  2. Step 2: Convert to fraction form
    1,432.97/2,149.53 = 459.15/x
  3. Step 3: Cross multiply
    1,432.97x = 2,149.53 × 459.15
  4. Step 4: Simplify right side
    1,432.97x = 986,956.70
  5. Step 5: Solve for x
    x = 986,956.70/1,432.97
  6. Step 6: Final answer
    x = 688.75

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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.