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Finding the Fourth Proportional to 791.92, 1,188.12 and 358.96

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Solution

The fourth proportional to 791.92, 1,188.12 and 358.96 is: 538.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.92 : 1,188.12 = 358.96 : x
  2. Step 2: Convert to fraction form
    791.92/1,188.12 = 358.96/x
  3. Step 3: Cross multiply
    791.92x = 1,188.12 × 358.96
  4. Step 4: Simplify right side
    791.92x = 426,487.56
  5. Step 5: Solve for x
    x = 426,487.56/791.92
  6. Step 6: Final answer
    x = 538.55

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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.