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Finding the Fourth Proportional to 757.48, 1,046.22 and 508.42

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Solution

The fourth proportional to 757.48, 1,046.22 and 508.42 is: 702.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.48 : 1,046.22 = 508.42 : x
  2. Step 2: Convert to fraction form
    757.48/1,046.22 = 508.42/x
  3. Step 3: Cross multiply
    757.48x = 1,046.22 × 508.42
  4. Step 4: Simplify right side
    757.48x = 531,919.17
  5. Step 5: Solve for x
    x = 531,919.17/757.48
  6. Step 6: Final answer
    x = 702.22

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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.