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Finding the Fourth Proportional to 1,432, 2,148.26 and 458.24

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Solution

The fourth proportional to 1,432, 2,148.26 and 458.24 is: 687.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432 : 2,148.26 = 458.24 : x
  2. Step 2: Convert to fraction form
    1,432/2,148.26 = 458.24/x
  3. Step 3: Cross multiply
    1,432x = 2,148.26 × 458.24
  4. Step 4: Simplify right side
    1,432x = 984,418.66
  5. Step 5: Solve for x
    x = 984,418.66/1,432
  6. Step 6: Final answer
    x = 687.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.