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Finding the Fourth Proportional to 775.42, 1,163.15 and 665.05

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Solution

The fourth proportional to 775.42, 1,163.15 and 665.05 is: 997.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.42 : 1,163.15 = 665.05 : x
  2. Step 2: Convert to fraction form
    775.42/1,163.15 = 665.05/x
  3. Step 3: Cross multiply
    775.42x = 1,163.15 × 665.05
  4. Step 4: Simplify right side
    775.42x = 773,552.91
  5. Step 5: Solve for x
    x = 773,552.91/775.42
  6. Step 6: Final answer
    x = 997.59

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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.