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Finding the Fourth Proportional to 1,432.31, 2,148.51 and 458.28

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Solution

The fourth proportional to 1,432.31, 2,148.51 and 458.28 is: 687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.31 : 2,148.51 = 458.28 : x
  2. Step 2: Convert to fraction form
    1,432.31/2,148.51 = 458.28/x
  3. Step 3: Cross multiply
    1,432.31x = 2,148.51 × 458.28
  4. Step 4: Simplify right side
    1,432.31x = 984,621.85
  5. Step 5: Solve for x
    x = 984,621.85/1,432.31
  6. Step 6: Final answer
    x = 687.44

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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.