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Finding the Fourth Proportional to 1,287.82, 1,932.81 and 518.86

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Solution

The fourth proportional to 1,287.82, 1,932.81 and 518.86 is: 778.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.82 : 1,932.81 = 518.86 : x
  2. Step 2: Convert to fraction form
    1,287.82/1,932.81 = 518.86/x
  3. Step 3: Cross multiply
    1,287.82x = 1,932.81 × 518.86
  4. Step 4: Simplify right side
    1,287.82x = 1,002,857.80
  5. Step 5: Solve for x
    x = 1,002,857.80/1,287.82
  6. Step 6: Final answer
    x = 778.73

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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.