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Finding the Fourth Proportional to 1,198.68, 1,798.16 and 549.33

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Solution

The fourth proportional to 1,198.68, 1,798.16 and 549.33 is: 824.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.68 : 1,798.16 = 549.33 : x
  2. Step 2: Convert to fraction form
    1,198.68/1,798.16 = 549.33/x
  3. Step 3: Cross multiply
    1,198.68x = 1,798.16 × 549.33
  4. Step 4: Simplify right side
    1,198.68x = 987,780.49
  5. Step 5: Solve for x
    x = 987,780.49/1,198.68
  6. Step 6: Final answer
    x = 824.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.