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Finding the Fourth Proportional to 1,042.39, 1,419.22 and 1,039.15

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Solution

The fourth proportional to 1,042.39, 1,419.22 and 1,039.15 is: 1,414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.39 : 1,419.22 = 1,039.15 : x
  2. Step 2: Convert to fraction form
    1,042.39/1,419.22 = 1,039.15/x
  3. Step 3: Cross multiply
    1,042.39x = 1,419.22 × 1,039.15
  4. Step 4: Simplify right side
    1,042.39x = 1,474,782.46
  5. Step 5: Solve for x
    x = 1,474,782.46/1,042.39
  6. Step 6: Final answer
    x = 1,414.81

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.