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Finding the Fourth Proportional to 1,198.85, 1,797.96 and 549.44

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Solution

The fourth proportional to 1,198.85, 1,797.96 and 549.44 is: 824.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.85 : 1,797.96 = 549.44 : x
  2. Step 2: Convert to fraction form
    1,198.85/1,797.96 = 549.44/x
  3. Step 3: Cross multiply
    1,198.85x = 1,797.96 × 549.44
  4. Step 4: Simplify right side
    1,198.85x = 987,871.14
  5. Step 5: Solve for x
    x = 987,871.14/1,198.85
  6. Step 6: Final answer
    x = 824.02

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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.