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Finding the Fourth Proportional to 767.25, 1,149.96 and 280.03

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Solution

The fourth proportional to 767.25, 1,149.96 and 280.03 is: 419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.25 : 1,149.96 = 280.03 : x
  2. Step 2: Convert to fraction form
    767.25/1,149.96 = 280.03/x
  3. Step 3: Cross multiply
    767.25x = 1,149.96 × 280.03
  4. Step 4: Simplify right side
    767.25x = 322,023.30
  5. Step 5: Solve for x
    x = 322,023.30/767.25
  6. Step 6: Final answer
    x = 419.71

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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.