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Finding the Fourth Proportional to 682.17, 1,022.76 and 517.47

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Solution

The fourth proportional to 682.17, 1,022.76 and 517.47 is: 775.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.17 : 1,022.76 = 517.47 : x
  2. Step 2: Convert to fraction form
    682.17/1,022.76 = 517.47/x
  3. Step 3: Cross multiply
    682.17x = 1,022.76 × 517.47
  4. Step 4: Simplify right side
    682.17x = 529,247.62
  5. Step 5: Solve for x
    x = 529,247.62/682.17
  6. Step 6: Final answer
    x = 775.83

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