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Finding the Fourth Proportional to 775.36, 1,163.02 and 227.55

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Solution

The fourth proportional to 775.36, 1,163.02 and 227.55 is: 341.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.36 : 1,163.02 = 227.55 : x
  2. Step 2: Convert to fraction form
    775.36/1,163.02 = 227.55/x
  3. Step 3: Cross multiply
    775.36x = 1,163.02 × 227.55
  4. Step 4: Simplify right side
    775.36x = 264,645.20
  5. Step 5: Solve for x
    x = 264,645.20/775.36
  6. Step 6: Final answer
    x = 341.32

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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.