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Finding the Fourth Proportional to 791.75, 1,188.21 and 381.12

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Solution

The fourth proportional to 791.75, 1,188.21 and 381.12 is: 571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.75 : 1,188.21 = 381.12 : x
  2. Step 2: Convert to fraction form
    791.75/1,188.21 = 381.12/x
  3. Step 3: Cross multiply
    791.75x = 1,188.21 × 381.12
  4. Step 4: Simplify right side
    791.75x = 452,850.60
  5. Step 5: Solve for x
    x = 452,850.60/791.75
  6. Step 6: Final answer
    x = 571.97

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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.