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Finding the Fourth Proportional to 752.11, 1,037.46 and 490.12

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Solution

The fourth proportional to 752.11, 1,037.46 and 490.12 is: 676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.11 : 1,037.46 = 490.12 : x
  2. Step 2: Convert to fraction form
    752.11/1,037.46 = 490.12/x
  3. Step 3: Cross multiply
    752.11x = 1,037.46 × 490.12
  4. Step 4: Simplify right side
    752.11x = 508,479.90
  5. Step 5: Solve for x
    x = 508,479.90/752.11
  6. Step 6: Final answer
    x = 676.07

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