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Finding the Fourth Proportional to 1,104.52, 1,524.81 and 855.28

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Solution

The fourth proportional to 1,104.52, 1,524.81 and 855.28 is: 1,180.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.52 : 1,524.81 = 855.28 : x
  2. Step 2: Convert to fraction form
    1,104.52/1,524.81 = 855.28/x
  3. Step 3: Cross multiply
    1,104.52x = 1,524.81 × 855.28
  4. Step 4: Simplify right side
    1,104.52x = 1,304,139.50
  5. Step 5: Solve for x
    x = 1,304,139.50/1,104.52
  6. Step 6: Final answer
    x = 1,180.73

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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.