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Finding the Fourth Proportional to 1,027.29, 1,540.94 and 872.85

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Solution

The fourth proportional to 1,027.29, 1,540.94 and 872.85 is: 1,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.29 : 1,540.94 = 872.85 : x
  2. Step 2: Convert to fraction form
    1,027.29/1,540.94 = 872.85/x
  3. Step 3: Cross multiply
    1,027.29x = 1,540.94 × 872.85
  4. Step 4: Simplify right side
    1,027.29x = 1,345,005.11
  5. Step 5: Solve for x
    x = 1,345,005.11/1,027.29
  6. Step 6: Final answer
    x = 1,309.28

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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.