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Finding the Fourth Proportional to 1,198.74, 1,798.18 and 321.22

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Solution

The fourth proportional to 1,198.74, 1,798.18 and 321.22 is: 481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.74 : 1,798.18 = 321.22 : x
  2. Step 2: Convert to fraction form
    1,198.74/1,798.18 = 321.22/x
  3. Step 3: Cross multiply
    1,198.74x = 1,798.18 × 321.22
  4. Step 4: Simplify right side
    1,198.74x = 577,611.38
  5. Step 5: Solve for x
    x = 577,611.38/1,198.74
  6. Step 6: Final answer
    x = 481.85

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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.