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Finding the Fourth Proportional to 775.87, 1,163.57 and 227.90

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Solution

The fourth proportional to 775.87, 1,163.57 and 227.90 is: 341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.87 : 1,163.57 = 227.90 : x
  2. Step 2: Convert to fraction form
    775.87/1,163.57 = 227.90/x
  3. Step 3: Cross multiply
    775.87x = 1,163.57 × 227.90
  4. Step 4: Simplify right side
    775.87x = 265,179.37
  5. Step 5: Solve for x
    x = 265,179.37/775.87
  6. Step 6: Final answer
    x = 341.78

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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.