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Finding the Fourth Proportional to 1,432.41, 2,148.63 and 458.58

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Solution

The fourth proportional to 1,432.41, 2,148.63 and 458.58 is: 687.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.41 : 2,148.63 = 458.58 : x
  2. Step 2: Convert to fraction form
    1,432.41/2,148.63 = 458.58/x
  3. Step 3: Cross multiply
    1,432.41x = 2,148.63 × 458.58
  4. Step 4: Simplify right side
    1,432.41x = 985,318.75
  5. Step 5: Solve for x
    x = 985,318.75/1,432.41
  6. Step 6: Final answer
    x = 687.87

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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.