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Finding the Fourth Proportional to 613.48, 844.26 and 516.52

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Solution

The fourth proportional to 613.48, 844.26 and 516.52 is: 710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.48 : 844.26 = 516.52 : x
  2. Step 2: Convert to fraction form
    613.48/844.26 = 516.52/x
  3. Step 3: Cross multiply
    613.48x = 844.26 × 516.52
  4. Step 4: Simplify right side
    613.48x = 436,077.18
  5. Step 5: Solve for x
    x = 436,077.18/613.48
  6. Step 6: Final answer
    x = 710.83

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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.