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Finding the Fourth Proportional to 775.63, 1,163.44 and 227.79

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Solution

The fourth proportional to 775.63, 1,163.44 and 227.79 is: 341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.63 : 1,163.44 = 227.79 : x
  2. Step 2: Convert to fraction form
    775.63/1,163.44 = 227.79/x
  3. Step 3: Cross multiply
    775.63x = 1,163.44 × 227.79
  4. Step 4: Simplify right side
    775.63x = 265,023.79
  5. Step 5: Solve for x
    x = 265,023.79/775.63
  6. Step 6: Final answer
    x = 341.69

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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.