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Finding the Fourth Proportional to 791.17, 1,186.81 and 270.97

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Solution

The fourth proportional to 791.17, 1,186.81 and 270.97 is: 406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.17 : 1,186.81 = 270.97 : x
  2. Step 2: Convert to fraction form
    791.17/1,186.81 = 270.97/x
  3. Step 3: Cross multiply
    791.17x = 1,186.81 × 270.97
  4. Step 4: Simplify right side
    791.17x = 321,586.26
  5. Step 5: Solve for x
    x = 321,586.26/791.17
  6. Step 6: Final answer
    x = 406.47

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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.