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Finding the Fourth Proportional to 1,198.73, 1,798.09 and 418.73

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Solution

The fourth proportional to 1,198.73, 1,798.09 and 418.73 is: 628.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.73 : 1,798.09 = 418.73 : x
  2. Step 2: Convert to fraction form
    1,198.73/1,798.09 = 418.73/x
  3. Step 3: Cross multiply
    1,198.73x = 1,798.09 × 418.73
  4. Step 4: Simplify right side
    1,198.73x = 752,905.24
  5. Step 5: Solve for x
    x = 752,905.24/1,198.73
  6. Step 6: Final answer
    x = 628.09

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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.