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Finding the Fourth Proportional to 1,105.62, 1,525.28 and 727.42

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Solution

The fourth proportional to 1,105.62, 1,525.28 and 727.42 is: 1,003.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.62 : 1,525.28 = 727.42 : x
  2. Step 2: Convert to fraction form
    1,105.62/1,525.28 = 727.42/x
  3. Step 3: Cross multiply
    1,105.62x = 1,525.28 × 727.42
  4. Step 4: Simplify right side
    1,105.62x = 1,109,519.18
  5. Step 5: Solve for x
    x = 1,109,519.18/1,105.62
  6. Step 6: Final answer
    x = 1,003.53

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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.