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Finding the Fourth Proportional to 775.42, 1,163.02 and 227.46

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Solution

The fourth proportional to 775.42, 1,163.02 and 227.46 is: 341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.42 : 1,163.02 = 227.46 : x
  2. Step 2: Convert to fraction form
    775.42/1,163.02 = 227.46/x
  3. Step 3: Cross multiply
    775.42x = 1,163.02 × 227.46
  4. Step 4: Simplify right side
    775.42x = 264,540.53
  5. Step 5: Solve for x
    x = 264,540.53/775.42
  6. Step 6: Final answer
    x = 341.16

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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.