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Finding the Fourth Proportional to 1,198.72, 1,798.22 and 549.37

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Solution

The fourth proportional to 1,198.72, 1,798.22 and 549.37 is: 824.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.72 : 1,798.22 = 549.37 : x
  2. Step 2: Convert to fraction form
    1,198.72/1,798.22 = 549.37/x
  3. Step 3: Cross multiply
    1,198.72x = 1,798.22 × 549.37
  4. Step 4: Simplify right side
    1,198.72x = 987,888.12
  5. Step 5: Solve for x
    x = 987,888.12/1,198.72
  6. Step 6: Final answer
    x = 824.12

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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.