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Finding the Fourth Proportional to 534.12, 796.67 and 517.92

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Solution

The fourth proportional to 534.12, 796.67 and 517.92 is: 772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.12 : 796.67 = 517.92 : x
  2. Step 2: Convert to fraction form
    534.12/796.67 = 517.92/x
  3. Step 3: Cross multiply
    534.12x = 796.67 × 517.92
  4. Step 4: Simplify right side
    534.12x = 412,611.33
  5. Step 5: Solve for x
    x = 412,611.33/534.12
  6. Step 6: Final answer
    x = 772.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.