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Finding the Fourth Proportional to 757.43, 1,044.88 and 462.18

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Solution

The fourth proportional to 757.43, 1,044.88 and 462.18 is: 637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.43 : 1,044.88 = 462.18 : x
  2. Step 2: Convert to fraction form
    757.43/1,044.88 = 462.18/x
  3. Step 3: Cross multiply
    757.43x = 1,044.88 × 462.18
  4. Step 4: Simplify right side
    757.43x = 482,922.64
  5. Step 5: Solve for x
    x = 482,922.64/757.43
  6. Step 6: Final answer
    x = 637.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.