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Finding the Fourth Proportional to 748.62, 1,033.57 and 512.96

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Solution

The fourth proportional to 748.62, 1,033.57 and 512.96 is: 708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.62 : 1,033.57 = 512.96 : x
  2. Step 2: Convert to fraction form
    748.62/1,033.57 = 512.96/x
  3. Step 3: Cross multiply
    748.62x = 1,033.57 × 512.96
  4. Step 4: Simplify right side
    748.62x = 530,177.50
  5. Step 5: Solve for x
    x = 530,177.50/748.62
  6. Step 6: Final answer
    x = 708.21

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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.