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Finding the Fourth Proportional to 775.49, 1,163.22 and 300.56

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Solution

The fourth proportional to 775.49, 1,163.22 and 300.56 is: 450.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.49 : 1,163.22 = 300.56 : x
  2. Step 2: Convert to fraction form
    775.49/1,163.22 = 300.56/x
  3. Step 3: Cross multiply
    775.49x = 1,163.22 × 300.56
  4. Step 4: Simplify right side
    775.49x = 349,611.59
  5. Step 5: Solve for x
    x = 349,611.59/775.49
  6. Step 6: Final answer
    x = 450.83

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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.