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Finding the Fourth Proportional to 752.26, 1,038.17 and 441.82

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Solution

The fourth proportional to 752.26, 1,038.17 and 441.82 is: 609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.26 : 1,038.17 = 441.82 : x
  2. Step 2: Convert to fraction form
    752.26/1,038.17 = 441.82/x
  3. Step 3: Cross multiply
    752.26x = 1,038.17 × 441.82
  4. Step 4: Simplify right side
    752.26x = 458,684.27
  5. Step 5: Solve for x
    x = 458,684.27/752.26
  6. Step 6: Final answer
    x = 609.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.