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Finding the Fourth Proportional to 1,270.82, 1,753.85 and 1,171.55

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Solution

The fourth proportional to 1,270.82, 1,753.85 and 1,171.55 is: 1,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.82 : 1,753.85 = 1,171.55 : x
  2. Step 2: Convert to fraction form
    1,270.82/1,753.85 = 1,171.55/x
  3. Step 3: Cross multiply
    1,270.82x = 1,753.85 × 1,171.55
  4. Step 4: Simplify right side
    1,270.82x = 2,054,722.97
  5. Step 5: Solve for x
    x = 2,054,722.97/1,270.82
  6. Step 6: Final answer
    x = 1,616.85

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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.