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Finding the Fourth Proportional to 733.56, 1,099.24 and 490.04

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Solution

The fourth proportional to 733.56, 1,099.24 and 490.04 is: 734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.56 : 1,099.24 = 490.04 : x
  2. Step 2: Convert to fraction form
    733.56/1,099.24 = 490.04/x
  3. Step 3: Cross multiply
    733.56x = 1,099.24 × 490.04
  4. Step 4: Simplify right side
    733.56x = 538,671.57
  5. Step 5: Solve for x
    x = 538,671.57/733.56
  6. Step 6: Final answer
    x = 734.33

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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.