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Finding the Fourth Proportional to 791.86, 1,188.39 and 517.87

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Solution

The fourth proportional to 791.86, 1,188.39 and 517.87 is: 777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.86 : 1,188.39 = 517.87 : x
  2. Step 2: Convert to fraction form
    791.86/1,188.39 = 517.87/x
  3. Step 3: Cross multiply
    791.86x = 1,188.39 × 517.87
  4. Step 4: Simplify right side
    791.86x = 615,431.53
  5. Step 5: Solve for x
    x = 615,431.53/791.86
  6. Step 6: Final answer
    x = 777.20

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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.