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Finding the Fourth Proportional to 752.09, 1,038.06 and 449.58

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Solution

The fourth proportional to 752.09, 1,038.06 and 449.58 is: 620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.09 : 1,038.06 = 449.58 : x
  2. Step 2: Convert to fraction form
    752.09/1,038.06 = 449.58/x
  3. Step 3: Cross multiply
    752.09x = 1,038.06 × 449.58
  4. Step 4: Simplify right side
    752.09x = 466,691.01
  5. Step 5: Solve for x
    x = 466,691.01/752.09
  6. Step 6: Final answer
    x = 620.53

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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.