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Finding the Fourth Proportional to 775.36, 1,163.04 and 227.58

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Solution

The fourth proportional to 775.36, 1,163.04 and 227.58 is: 341.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.36 : 1,163.04 = 227.58 : x
  2. Step 2: Convert to fraction form
    775.36/1,163.04 = 227.58/x
  3. Step 3: Cross multiply
    775.36x = 1,163.04 × 227.58
  4. Step 4: Simplify right side
    775.36x = 264,690.04
  5. Step 5: Solve for x
    x = 264,690.04/775.36
  6. Step 6: Final answer
    x = 341.38

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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.