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Finding the Fourth Proportional to 1,131.97, 1,560.75 and 921.70

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Solution

The fourth proportional to 1,131.97, 1,560.75 and 921.70 is: 1,270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.97 : 1,560.75 = 921.70 : x
  2. Step 2: Convert to fraction form
    1,131.97/1,560.75 = 921.70/x
  3. Step 3: Cross multiply
    1,131.97x = 1,560.75 × 921.70
  4. Step 4: Simplify right side
    1,131.97x = 1,438,543.28
  5. Step 5: Solve for x
    x = 1,438,543.28/1,131.97
  6. Step 6: Final answer
    x = 1,270.83

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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.