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Finding the Fourth Proportional to 775.86, 1,163.76 and 198.72

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Solution

The fourth proportional to 775.86, 1,163.76 and 198.72 is: 298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.86 : 1,163.76 = 198.72 : x
  2. Step 2: Convert to fraction form
    775.86/1,163.76 = 198.72/x
  3. Step 3: Cross multiply
    775.86x = 1,163.76 × 198.72
  4. Step 4: Simplify right side
    775.86x = 231,262.39
  5. Step 5: Solve for x
    x = 231,262.39/775.86
  6. Step 6: Final answer
    x = 298.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.