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Finding the Fourth Proportional to 1,100.71, 1,519.05 and 727.44

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Solution

The fourth proportional to 1,100.71, 1,519.05 and 727.44 is: 1,003.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.71 : 1,519.05 = 727.44 : x
  2. Step 2: Convert to fraction form
    1,100.71/1,519.05 = 727.44/x
  3. Step 3: Cross multiply
    1,100.71x = 1,519.05 × 727.44
  4. Step 4: Simplify right side
    1,100.71x = 1,105,017.73
  5. Step 5: Solve for x
    x = 1,105,017.73/1,100.71
  6. Step 6: Final answer
    x = 1,003.91

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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.