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Finding the Fourth Proportional to 791.28, 1,187.10 and 243.46

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Solution

The fourth proportional to 791.28, 1,187.10 and 243.46 is: 365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.28 : 1,187.10 = 243.46 : x
  2. Step 2: Convert to fraction form
    791.28/1,187.10 = 243.46/x
  3. Step 3: Cross multiply
    791.28x = 1,187.10 × 243.46
  4. Step 4: Simplify right side
    791.28x = 289,011.37
  5. Step 5: Solve for x
    x = 289,011.37/791.28
  6. Step 6: Final answer
    x = 365.25

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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.