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Finding the Fourth Proportional to 583.97, 874.13 and 516.60

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Solution

The fourth proportional to 583.97, 874.13 and 516.60 is: 773.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.97 : 874.13 = 516.60 : x
  2. Step 2: Convert to fraction form
    583.97/874.13 = 516.60/x
  3. Step 3: Cross multiply
    583.97x = 874.13 × 516.60
  4. Step 4: Simplify right side
    583.97x = 451,572.98
  5. Step 5: Solve for x
    x = 451,572.98/583.97
  6. Step 6: Final answer
    x = 773.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.