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Finding the Fourth Proportional to 733.50, 1,098.61 and 408.14

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Solution

The fourth proportional to 733.50, 1,098.61 and 408.14 is: 611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.50 : 1,098.61 = 408.14 : x
  2. Step 2: Convert to fraction form
    733.50/1,098.61 = 408.14/x
  3. Step 3: Cross multiply
    733.50x = 1,098.61 × 408.14
  4. Step 4: Simplify right side
    733.50x = 448,386.69
  5. Step 5: Solve for x
    x = 448,386.69/733.50
  6. Step 6: Final answer
    x = 611.30

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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.