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Finding the Fourth Proportional to 733.02, 1,099.67 and 270.83

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Solution

The fourth proportional to 733.02, 1,099.67 and 270.83 is: 406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.02 : 1,099.67 = 270.83 : x
  2. Step 2: Convert to fraction form
    733.02/1,099.67 = 270.83/x
  3. Step 3: Cross multiply
    733.02x = 1,099.67 × 270.83
  4. Step 4: Simplify right side
    733.02x = 297,828.06
  5. Step 5: Solve for x
    x = 297,828.06/733.02
  6. Step 6: Final answer
    x = 406.30

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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.