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Finding the Fourth Proportional to 1,171.29, 1,754.85 and 1,044.15

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Solution

The fourth proportional to 1,171.29, 1,754.85 and 1,044.15 is: 1,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.29 : 1,754.85 = 1,044.15 : x
  2. Step 2: Convert to fraction form
    1,171.29/1,754.85 = 1,044.15/x
  3. Step 3: Cross multiply
    1,171.29x = 1,754.85 × 1,044.15
  4. Step 4: Simplify right side
    1,171.29x = 1,832,326.63
  5. Step 5: Solve for x
    x = 1,832,326.63/1,171.29
  6. Step 6: Final answer
    x = 1,564.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.