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Finding the Fourth Proportional to 775.69, 1,163.46 and 198.58

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Solution

The fourth proportional to 775.69, 1,163.46 and 198.58 is: 297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.69 : 1,163.46 = 198.58 : x
  2. Step 2: Convert to fraction form
    775.69/1,163.46 = 198.58/x
  3. Step 3: Cross multiply
    775.69x = 1,163.46 × 198.58
  4. Step 4: Simplify right side
    775.69x = 231,039.89
  5. Step 5: Solve for x
    x = 231,039.89/775.69
  6. Step 6: Final answer
    x = 297.85

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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.