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Finding the Fourth Proportional to 775.26, 1,163.02 and 255.11

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Solution

The fourth proportional to 775.26, 1,163.02 and 255.11 is: 382.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.26 : 1,163.02 = 255.11 : x
  2. Step 2: Convert to fraction form
    775.26/1,163.02 = 255.11/x
  3. Step 3: Cross multiply
    775.26x = 1,163.02 × 255.11
  4. Step 4: Simplify right side
    775.26x = 296,698.03
  5. Step 5: Solve for x
    x = 296,698.03/775.26
  6. Step 6: Final answer
    x = 382.71

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Double scale
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1.5x scale

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.