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Finding the Fourth Proportional to 733.63, 1,100.82 and 409.18

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Solution

The fourth proportional to 733.63, 1,100.82 and 409.18 is: 613.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.63 : 1,100.82 = 409.18 : x
  2. Step 2: Convert to fraction form
    733.63/1,100.82 = 409.18/x
  3. Step 3: Cross multiply
    733.63x = 1,100.82 × 409.18
  4. Step 4: Simplify right side
    733.63x = 450,433.53
  5. Step 5: Solve for x
    x = 450,433.53/733.63
  6. Step 6: Final answer
    x = 613.98

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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.