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Finding the Fourth Proportional to 733.36, 1,099.83 and 294.61

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Solution

The fourth proportional to 733.36, 1,099.83 and 294.61 is: 441.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.36 : 1,099.83 = 294.61 : x
  2. Step 2: Convert to fraction form
    733.36/1,099.83 = 294.61/x
  3. Step 3: Cross multiply
    733.36x = 1,099.83 × 294.61
  4. Step 4: Simplify right side
    733.36x = 324,015.42
  5. Step 5: Solve for x
    x = 324,015.42/733.36
  6. Step 6: Final answer
    x = 441.83

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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.