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Finding the Fourth Proportional to 775.46, 1,163.24 and 255.42

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Solution

The fourth proportional to 775.46, 1,163.24 and 255.42 is: 383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.46 : 1,163.24 = 255.42 : x
  2. Step 2: Convert to fraction form
    775.46/1,163.24 = 255.42/x
  3. Step 3: Cross multiply
    775.46x = 1,163.24 × 255.42
  4. Step 4: Simplify right side
    775.46x = 297,114.76
  5. Step 5: Solve for x
    x = 297,114.76/775.46
  6. Step 6: Final answer
    x = 383.15

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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.