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Finding the Fourth Proportional to 534.66, 796.75 and 517.26

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Solution

The fourth proportional to 534.66, 796.75 and 517.26 is: 770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.66 : 796.75 = 517.26 : x
  2. Step 2: Convert to fraction form
    534.66/796.75 = 517.26/x
  3. Step 3: Cross multiply
    534.66x = 796.75 × 517.26
  4. Step 4: Simplify right side
    534.66x = 412,126.91
  5. Step 5: Solve for x
    x = 412,126.91/534.66
  6. Step 6: Final answer
    x = 770.82

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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.