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Finding the Fourth Proportional to 1,432.71, 2,149.29 and 458.60

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Solution

The fourth proportional to 1,432.71, 2,149.29 and 458.60 is: 687.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.71 : 2,149.29 = 458.60 : x
  2. Step 2: Convert to fraction form
    1,432.71/2,149.29 = 458.60/x
  3. Step 3: Cross multiply
    1,432.71x = 2,149.29 × 458.60
  4. Step 4: Simplify right side
    1,432.71x = 985,653.65
  5. Step 5: Solve for x
    x = 985,653.65/1,432.71
  6. Step 6: Final answer
    x = 687.96

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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.