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Finding the Fourth Proportional to 775.92, 1,163.88 and 198.78

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Solution

The fourth proportional to 775.92, 1,163.88 and 198.78 is: 298.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.92 : 1,163.88 = 198.78 : x
  2. Step 2: Convert to fraction form
    775.92/1,163.88 = 198.78/x
  3. Step 3: Cross multiply
    775.92x = 1,163.88 × 198.78
  4. Step 4: Simplify right side
    775.92x = 231,356.07
  5. Step 5: Solve for x
    x = 231,356.07/775.92
  6. Step 6: Final answer
    x = 298.17

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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.