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Finding the Fourth Proportional to 775.39, 1,163.36 and 428.29

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Solution

The fourth proportional to 775.39, 1,163.36 and 428.29 is: 642.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.39 : 1,163.36 = 428.29 : x
  2. Step 2: Convert to fraction form
    775.39/1,163.36 = 428.29/x
  3. Step 3: Cross multiply
    775.39x = 1,163.36 × 428.29
  4. Step 4: Simplify right side
    775.39x = 498,255.45
  5. Step 5: Solve for x
    x = 498,255.45/775.39
  6. Step 6: Final answer
    x = 642.59

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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.