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Finding the Fourth Proportional to 775.62, 1,163.43 and 198.50

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Solution

The fourth proportional to 775.62, 1,163.43 and 198.50 is: 297.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.62 : 1,163.43 = 198.50 : x
  2. Step 2: Convert to fraction form
    775.62/1,163.43 = 198.50/x
  3. Step 3: Cross multiply
    775.62x = 1,163.43 × 198.50
  4. Step 4: Simplify right side
    775.62x = 230,935.04
  5. Step 5: Solve for x
    x = 230,935.04/775.62
  6. Step 6: Final answer
    x = 297.74

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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.