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Finding the Fourth Proportional to 733.72, 1,100.82 and 409

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Solution

The fourth proportional to 733.72, 1,100.82 and 409 is: 613.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.72 : 1,100.82 = 409 : x
  2. Step 2: Convert to fraction form
    733.72/1,100.82 = 409/x
  3. Step 3: Cross multiply
    733.72x = 1,100.82 × 409
  4. Step 4: Simplify right side
    733.72x = 450,235.38
  5. Step 5: Solve for x
    x = 450,235.38/733.72
  6. Step 6: Final answer
    x = 613.63

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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.