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Finding the Fourth Proportional to 733.18, 1,099.23 and 343.45

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Solution

The fourth proportional to 733.18, 1,099.23 and 343.45 is: 514.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.18 : 1,099.23 = 343.45 : x
  2. Step 2: Convert to fraction form
    733.18/1,099.23 = 343.45/x
  3. Step 3: Cross multiply
    733.18x = 1,099.23 × 343.45
  4. Step 4: Simplify right side
    733.18x = 377,530.54
  5. Step 5: Solve for x
    x = 377,530.54/733.18
  6. Step 6: Final answer
    x = 514.92

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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.