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Finding the Fourth Proportional to 752.92, 1,129.43 and 205.05

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Solution

The fourth proportional to 752.92, 1,129.43 and 205.05 is: 307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.92 : 1,129.43 = 205.05 : x
  2. Step 2: Convert to fraction form
    752.92/1,129.43 = 205.05/x
  3. Step 3: Cross multiply
    752.92x = 1,129.43 × 205.05
  4. Step 4: Simplify right side
    752.92x = 231,589.62
  5. Step 5: Solve for x
    x = 231,589.62/752.92
  6. Step 6: Final answer
    x = 307.59

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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.