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Finding the Fourth Proportional to 733.23, 1,099.74 and 270.89

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Solution

The fourth proportional to 733.23, 1,099.74 and 270.89 is: 406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.23 : 1,099.74 = 270.89 : x
  2. Step 2: Convert to fraction form
    733.23/1,099.74 = 270.89/x
  3. Step 3: Cross multiply
    733.23x = 1,099.74 × 270.89
  4. Step 4: Simplify right side
    733.23x = 297,903.07
  5. Step 5: Solve for x
    x = 297,903.07/733.23
  6. Step 6: Final answer
    x = 406.29

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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.