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Finding the Fourth Proportional to 733.91, 1,100.90 and 409.03

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Solution

The fourth proportional to 733.91, 1,100.90 and 409.03 is: 613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.91 : 1,100.90 = 409.03 : x
  2. Step 2: Convert to fraction form
    733.91/1,100.90 = 409.03/x
  3. Step 3: Cross multiply
    733.91x = 1,100.90 × 409.03
  4. Step 4: Simplify right side
    733.91x = 450,299.08
  5. Step 5: Solve for x
    x = 450,299.08/733.91
  6. Step 6: Final answer
    x = 613.56

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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.