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Finding the Fourth Proportional to 775.56, 1,163.34 and 198.44

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Solution

The fourth proportional to 775.56, 1,163.34 and 198.44 is: 297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.56 : 1,163.34 = 198.44 : x
  2. Step 2: Convert to fraction form
    775.56/1,163.34 = 198.44/x
  3. Step 3: Cross multiply
    775.56x = 1,163.34 × 198.44
  4. Step 4: Simplify right side
    775.56x = 230,853.19
  5. Step 5: Solve for x
    x = 230,853.19/775.56
  6. Step 6: Final answer
    x = 297.66

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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.