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Finding the Fourth Proportional to 796.50, 1,098.92 and 517.10

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Solution

The fourth proportional to 796.50, 1,098.92 and 517.10 is: 713.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.50 : 1,098.92 = 517.10 : x
  2. Step 2: Convert to fraction form
    796.50/1,098.92 = 517.10/x
  3. Step 3: Cross multiply
    796.50x = 1,098.92 × 517.10
  4. Step 4: Simplify right side
    796.50x = 568,251.53
  5. Step 5: Solve for x
    x = 568,251.53/796.50
  6. Step 6: Final answer
    x = 713.44

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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.