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Finding the Fourth Proportional to 791.75, 1,186.14 and 732.08

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Solution

The fourth proportional to 791.75, 1,186.14 and 732.08 is: 1,096.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.75 : 1,186.14 = 732.08 : x
  2. Step 2: Convert to fraction form
    791.75/1,186.14 = 732.08/x
  3. Step 3: Cross multiply
    791.75x = 1,186.14 × 732.08
  4. Step 4: Simplify right side
    791.75x = 868,349.37
  5. Step 5: Solve for x
    x = 868,349.37/791.75
  6. Step 6: Final answer
    x = 1,096.75

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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.