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Finding the Fourth Proportional to 733.14, 1,099.08 and 408.06

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Solution

The fourth proportional to 733.14, 1,099.08 and 408.06 is: 611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.14 : 1,099.08 = 408.06 : x
  2. Step 2: Convert to fraction form
    733.14/1,099.08 = 408.06/x
  3. Step 3: Cross multiply
    733.14x = 1,099.08 × 408.06
  4. Step 4: Simplify right side
    733.14x = 448,490.58
  5. Step 5: Solve for x
    x = 448,490.58/733.14
  6. Step 6: Final answer
    x = 611.74

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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.