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Finding the Fourth Proportional to 682.71, 1,022.83 and 517.86

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Solution

The fourth proportional to 682.71, 1,022.83 and 517.86 is: 775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.71 : 1,022.83 = 517.86 : x
  2. Step 2: Convert to fraction form
    682.71/1,022.83 = 517.86/x
  3. Step 3: Cross multiply
    682.71x = 1,022.83 × 517.86
  4. Step 4: Simplify right side
    682.71x = 529,682.74
  5. Step 5: Solve for x
    x = 529,682.74/682.71
  6. Step 6: Final answer
    x = 775.85

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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.