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Finding the Fourth Proportional to 733.09, 1,099.41 and 246.03

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Solution

The fourth proportional to 733.09, 1,099.41 and 246.03 is: 368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.09 : 1,099.41 = 246.03 : x
  2. Step 2: Convert to fraction form
    733.09/1,099.41 = 246.03/x
  3. Step 3: Cross multiply
    733.09x = 1,099.41 × 246.03
  4. Step 4: Simplify right side
    733.09x = 270,487.84
  5. Step 5: Solve for x
    x = 270,487.84/733.09
  6. Step 6: Final answer
    x = 368.97

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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.