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Finding the Fourth Proportional to 1,286.78, 1,928.49 and 517.82

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Solution

The fourth proportional to 1,286.78, 1,928.49 and 517.82 is: 776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.78 : 1,928.49 = 517.82 : x
  2. Step 2: Convert to fraction form
    1,286.78/1,928.49 = 517.82/x
  3. Step 3: Cross multiply
    1,286.78x = 1,928.49 × 517.82
  4. Step 4: Simplify right side
    1,286.78x = 998,610.69
  5. Step 5: Solve for x
    x = 998,610.69/1,286.78
  6. Step 6: Final answer
    x = 776.05

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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.