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Finding the Fourth Proportional to 757.52, 1,138.42 and 449.43

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Solution

The fourth proportional to 757.52, 1,138.42 and 449.43 is: 675.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.52 : 1,138.42 = 449.43 : x
  2. Step 2: Convert to fraction form
    757.52/1,138.42 = 449.43/x
  3. Step 3: Cross multiply
    757.52x = 1,138.42 × 449.43
  4. Step 4: Simplify right side
    757.52x = 511,640.10
  5. Step 5: Solve for x
    x = 511,640.10/757.52
  6. Step 6: Final answer
    x = 675.41

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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.