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Finding the Fourth Proportional to 791.16, 1,186.75 and 271.16

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Solution

The fourth proportional to 791.16, 1,186.75 and 271.16 is: 406.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.16 : 1,186.75 = 271.16 : x
  2. Step 2: Convert to fraction form
    791.16/1,186.75 = 271.16/x
  3. Step 3: Cross multiply
    791.16x = 1,186.75 × 271.16
  4. Step 4: Simplify right side
    791.16x = 321,793.54
  5. Step 5: Solve for x
    x = 321,793.54/791.16
  6. Step 6: Final answer
    x = 406.74

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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.