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Finding the Fourth Proportional to 752.17, 1,128.05 and 289.97

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Solution

The fourth proportional to 752.17, 1,128.05 and 289.97 is: 434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.17 : 1,128.05 = 289.97 : x
  2. Step 2: Convert to fraction form
    752.17/1,128.05 = 289.97/x
  3. Step 3: Cross multiply
    752.17x = 1,128.05 × 289.97
  4. Step 4: Simplify right side
    752.17x = 327,093.57
  5. Step 5: Solve for x
    x = 327,093.57/752.17
  6. Step 6: Final answer
    x = 434.87

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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.