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Finding the Fourth Proportional to 1,286.73, 1,928.97 and 798.71

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Solution

The fourth proportional to 1,286.73, 1,928.97 and 798.71 is: 1,197.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.73 : 1,928.97 = 798.71 : x
  2. Step 2: Convert to fraction form
    1,286.73/1,928.97 = 798.71/x
  3. Step 3: Cross multiply
    1,286.73x = 1,928.97 × 798.71
  4. Step 4: Simplify right side
    1,286.73x = 1,540,677.98
  5. Step 5: Solve for x
    x = 1,540,677.98/1,286.73
  6. Step 6: Final answer
    x = 1,197.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.