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Finding the Fourth Proportional to 733.11, 1,097.97 and 424.19

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Solution

The fourth proportional to 733.11, 1,097.97 and 424.19 is: 635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.11 : 1,097.97 = 424.19 : x
  2. Step 2: Convert to fraction form
    733.11/1,097.97 = 424.19/x
  3. Step 3: Cross multiply
    733.11x = 1,097.97 × 424.19
  4. Step 4: Simplify right side
    733.11x = 465,745.77
  5. Step 5: Solve for x
    x = 465,745.77/733.11
  6. Step 6: Final answer
    x = 635.31

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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.