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Finding the Fourth Proportional to 798.38, 1,198.26 and 428.48

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Solution

The fourth proportional to 798.38, 1,198.26 and 428.48 is: 643.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.38 : 1,198.26 = 428.48 : x
  2. Step 2: Convert to fraction form
    798.38/1,198.26 = 428.48/x
  3. Step 3: Cross multiply
    798.38x = 1,198.26 × 428.48
  4. Step 4: Simplify right side
    798.38x = 513,424.45
  5. Step 5: Solve for x
    x = 513,424.45/798.38
  6. Step 6: Final answer
    x = 643.09

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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.