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Finding the Fourth Proportional to 791.93, 1,187.73 and 271.96

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Solution

The fourth proportional to 791.93, 1,187.73 and 271.96 is: 407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.93 : 1,187.73 = 271.96 : x
  2. Step 2: Convert to fraction form
    791.93/1,187.73 = 271.96/x
  3. Step 3: Cross multiply
    791.93x = 1,187.73 × 271.96
  4. Step 4: Simplify right side
    791.93x = 323,012.08
  5. Step 5: Solve for x
    x = 323,012.08/791.93
  6. Step 6: Final answer
    x = 407.88

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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.