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Finding the Fourth Proportional to 1,034.52, 1,428.86 and 796.78

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Solution

The fourth proportional to 1,034.52, 1,428.86 and 796.78 is: 1,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.52 : 1,428.86 = 796.78 : x
  2. Step 2: Convert to fraction form
    1,034.52/1,428.86 = 796.78/x
  3. Step 3: Cross multiply
    1,034.52x = 1,428.86 × 796.78
  4. Step 4: Simplify right side
    1,034.52x = 1,138,487.07
  5. Step 5: Solve for x
    x = 1,138,487.07/1,034.52
  6. Step 6: Final answer
    x = 1,100.50

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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.