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Finding the Fourth Proportional to 1,040.28, 1,436.24 and 791.16

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Solution

The fourth proportional to 1,040.28, 1,436.24 and 791.16 is: 1,092.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.28 : 1,436.24 = 791.16 : x
  2. Step 2: Convert to fraction form
    1,040.28/1,436.24 = 791.16/x
  3. Step 3: Cross multiply
    1,040.28x = 1,436.24 × 791.16
  4. Step 4: Simplify right side
    1,040.28x = 1,136,295.64
  5. Step 5: Solve for x
    x = 1,136,295.64/1,040.28
  6. Step 6: Final answer
    x = 1,092.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.