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Finding the Fourth Proportional to 1,034.26, 1,428.51 and 838.78

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Solution

The fourth proportional to 1,034.26, 1,428.51 and 838.78 is: 1,158.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.26 : 1,428.51 = 838.78 : x
  2. Step 2: Convert to fraction form
    1,034.26/1,428.51 = 838.78/x
  3. Step 3: Cross multiply
    1,034.26x = 1,428.51 × 838.78
  4. Step 4: Simplify right side
    1,034.26x = 1,198,205.62
  5. Step 5: Solve for x
    x = 1,198,205.62/1,034.26
  6. Step 6: Final answer
    x = 1,158.51

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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.