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Finding the Fourth Proportional to 791.96, 1,188.10 and 271.92

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Solution

The fourth proportional to 791.96, 1,188.10 and 271.92 is: 407.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.96 : 1,188.10 = 271.92 : x
  2. Step 2: Convert to fraction form
    791.96/1,188.10 = 271.92/x
  3. Step 3: Cross multiply
    791.96x = 1,188.10 × 271.92
  4. Step 4: Simplify right side
    791.96x = 323,068.15
  5. Step 5: Solve for x
    x = 323,068.15/791.96
  6. Step 6: Final answer
    x = 407.93

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Why These Related Problems?

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