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Finding the Fourth Proportional to 1,120.80, 1,553.26 and 1,105.14

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Solution

The fourth proportional to 1,120.80, 1,553.26 and 1,105.14 is: 1,531.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.80 : 1,553.26 = 1,105.14 : x
  2. Step 2: Convert to fraction form
    1,120.80/1,553.26 = 1,105.14/x
  3. Step 3: Cross multiply
    1,120.80x = 1,553.26 × 1,105.14
  4. Step 4: Simplify right side
    1,120.80x = 1,716,569.76
  5. Step 5: Solve for x
    x = 1,716,569.76/1,120.80
  6. Step 6: Final answer
    x = 1,531.56

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.