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Finding the Fourth Proportional to 791.12, 1,186.32 and 531.38

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Solution

The fourth proportional to 791.12, 1,186.32 and 531.38 is: 796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.12 : 1,186.32 = 531.38 : x
  2. Step 2: Convert to fraction form
    791.12/1,186.32 = 531.38/x
  3. Step 3: Cross multiply
    791.12x = 1,186.32 × 531.38
  4. Step 4: Simplify right side
    791.12x = 630,386.72
  5. Step 5: Solve for x
    x = 630,386.72/791.12
  6. Step 6: Final answer
    x = 796.83

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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.