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Finding the Fourth Proportional to 775.42, 1,163.73 and 532.42

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Solution

The fourth proportional to 775.42, 1,163.73 and 532.42 is: 799.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.42 : 1,163.73 = 532.42 : x
  2. Step 2: Convert to fraction form
    775.42/1,163.73 = 532.42/x
  3. Step 3: Cross multiply
    775.42x = 1,163.73 × 532.42
  4. Step 4: Simplify right side
    775.42x = 619,593.13
  5. Step 5: Solve for x
    x = 619,593.13/775.42
  6. Step 6: Final answer
    x = 799.04

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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.