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Finding the Fourth Proportional to 733.78, 1,100.85 and 409.42

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Solution

The fourth proportional to 733.78, 1,100.85 and 409.42 is: 614.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.78 : 1,100.85 = 409.42 : x
  2. Step 2: Convert to fraction form
    733.78/1,100.85 = 409.42/x
  3. Step 3: Cross multiply
    733.78x = 1,100.85 × 409.42
  4. Step 4: Simplify right side
    733.78x = 450,710.01
  5. Step 5: Solve for x
    x = 450,710.01/733.78
  6. Step 6: Final answer
    x = 614.23

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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.