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Finding the Fourth Proportional to 748.78, 1,033.82 and 524.31

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Solution

The fourth proportional to 748.78, 1,033.82 and 524.31 is: 723.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.78 : 1,033.82 = 524.31 : x
  2. Step 2: Convert to fraction form
    748.78/1,033.82 = 524.31/x
  3. Step 3: Cross multiply
    748.78x = 1,033.82 × 524.31
  4. Step 4: Simplify right side
    748.78x = 542,046.40
  5. Step 5: Solve for x
    x = 542,046.40/748.78
  6. Step 6: Final answer
    x = 723.90

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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.