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Finding the Fourth Proportional to 775.64, 1,163.46 and 227.77

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Solution

The fourth proportional to 775.64, 1,163.46 and 227.77 is: 341.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.64 : 1,163.46 = 227.77 : x
  2. Step 2: Convert to fraction form
    775.64/1,163.46 = 227.77/x
  3. Step 3: Cross multiply
    775.64x = 1,163.46 × 227.77
  4. Step 4: Simplify right side
    775.64x = 265,001.28
  5. Step 5: Solve for x
    x = 265,001.28/775.64
  6. Step 6: Final answer
    x = 341.66

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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.