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Finding the Fourth Proportional to 766.97, 1,150.91 and 280.06

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Solution

The fourth proportional to 766.97, 1,150.91 and 280.06 is: 420.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.97 : 1,150.91 = 280.06 : x
  2. Step 2: Convert to fraction form
    766.97/1,150.91 = 280.06/x
  3. Step 3: Cross multiply
    766.97x = 1,150.91 × 280.06
  4. Step 4: Simplify right side
    766.97x = 322,323.85
  5. Step 5: Solve for x
    x = 322,323.85/766.97
  6. Step 6: Final answer
    x = 420.26

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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.