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Finding the Fourth Proportional to 733.12, 1,099.85 and 246.24

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Solution

The fourth proportional to 733.12, 1,099.85 and 246.24 is: 369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.12 : 1,099.85 = 246.24 : x
  2. Step 2: Convert to fraction form
    733.12/1,099.85 = 246.24/x
  3. Step 3: Cross multiply
    733.12x = 1,099.85 × 246.24
  4. Step 4: Simplify right side
    733.12x = 270,825.83
  5. Step 5: Solve for x
    x = 270,825.83/733.12
  6. Step 6: Final answer
    x = 369.42

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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.