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Finding the Fourth Proportional to 733.09, 1,099.23 and 321.74

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Solution

The fourth proportional to 733.09, 1,099.23 and 321.74 is: 482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.09 : 1,099.23 = 321.74 : x
  2. Step 2: Convert to fraction form
    733.09/1,099.23 = 321.74/x
  3. Step 3: Cross multiply
    733.09x = 1,099.23 × 321.74
  4. Step 4: Simplify right side
    733.09x = 353,666.26
  5. Step 5: Solve for x
    x = 353,666.26/733.09
  6. Step 6: Final answer
    x = 482.44

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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.