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Finding the Fourth Proportional to 775.70, 1,163.42 and 255.71

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Solution

The fourth proportional to 775.70, 1,163.42 and 255.71 is: 383.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.70 : 1,163.42 = 255.71 : x
  2. Step 2: Convert to fraction form
    775.70/1,163.42 = 255.71/x
  3. Step 3: Cross multiply
    775.70x = 1,163.42 × 255.71
  4. Step 4: Simplify right side
    775.70x = 297,491.03
  5. Step 5: Solve for x
    x = 297,491.03/775.70
  6. Step 6: Final answer
    x = 383.52

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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.