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Finding the Fourth Proportional to 748.72, 1,033.23 and 516.25

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Solution

The fourth proportional to 748.72, 1,033.23 and 516.25 is: 712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.72 : 1,033.23 = 516.25 : x
  2. Step 2: Convert to fraction form
    748.72/1,033.23 = 516.25/x
  3. Step 3: Cross multiply
    748.72x = 1,033.23 × 516.25
  4. Step 4: Simplify right side
    748.72x = 533,404.99
  5. Step 5: Solve for x
    x = 533,404.99/748.72
  6. Step 6: Final answer
    x = 712.42

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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.