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Finding the Fourth Proportional to 791.18, 1,186.72 and 271.16

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Solution

The fourth proportional to 791.18, 1,186.72 and 271.16 is: 406.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.18 : 1,186.72 = 271.16 : x
  2. Step 2: Convert to fraction form
    791.18/1,186.72 = 271.16/x
  3. Step 3: Cross multiply
    791.18x = 1,186.72 × 271.16
  4. Step 4: Simplify right side
    791.18x = 321,791.00
  5. Step 5: Solve for x
    x = 321,791.00/791.18
  6. Step 6: Final answer
    x = 406.72

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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.