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Finding the Fourth Proportional to 791.42, 1,186.76 and 271.27

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Solution

The fourth proportional to 791.42, 1,186.76 and 271.27 is: 406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.42 : 1,186.76 = 271.27 : x
  2. Step 2: Convert to fraction form
    791.42/1,186.76 = 271.27/x
  3. Step 3: Cross multiply
    791.42x = 1,186.76 × 271.27
  4. Step 4: Simplify right side
    791.42x = 321,934.55
  5. Step 5: Solve for x
    x = 321,934.55/791.42
  6. Step 6: Final answer
    x = 406.78

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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.