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Finding the Fourth Proportional to 791.16, 1,187 and 243.44

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Solution

The fourth proportional to 791.16, 1,187 and 243.44 is: 365.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.16 : 1,187 = 243.44 : x
  2. Step 2: Convert to fraction form
    791.16/1,187 = 243.44/x
  3. Step 3: Cross multiply
    791.16x = 1,187 × 243.44
  4. Step 4: Simplify right side
    791.16x = 288,963.28
  5. Step 5: Solve for x
    x = 288,963.28/791.16
  6. Step 6: Final answer
    x = 365.24

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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.