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Finding the Fourth Proportional to 1,039.23, 1,434.51 and 891.27

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Solution

The fourth proportional to 1,039.23, 1,434.51 and 891.27 is: 1,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.23 : 1,434.51 = 891.27 : x
  2. Step 2: Convert to fraction form
    1,039.23/1,434.51 = 891.27/x
  3. Step 3: Cross multiply
    1,039.23x = 1,434.51 × 891.27
  4. Step 4: Simplify right side
    1,039.23x = 1,278,535.73
  5. Step 5: Solve for x
    x = 1,278,535.73/1,039.23
  6. Step 6: Final answer
    x = 1,230.27

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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.