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Finding the Fourth Proportional to 1,198.08, 1,796.58 and 549

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Solution

The fourth proportional to 1,198.08, 1,796.58 and 549 is: 823.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.08 : 1,796.58 = 549 : x
  2. Step 2: Convert to fraction form
    1,198.08/1,796.58 = 549/x
  3. Step 3: Cross multiply
    1,198.08x = 1,796.58 × 549
  4. Step 4: Simplify right side
    1,198.08x = 986,322.42
  5. Step 5: Solve for x
    x = 986,322.42/1,198.08
  6. Step 6: Final answer
    x = 823.25

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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.