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Finding the Fourth Proportional to 1,198.44, 1,797.78 and 549.08

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Solution

The fourth proportional to 1,198.44, 1,797.78 and 549.08 is: 823.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.44 : 1,797.78 = 549.08 : x
  2. Step 2: Convert to fraction form
    1,198.44/1,797.78 = 549.08/x
  3. Step 3: Cross multiply
    1,198.44x = 1,797.78 × 549.08
  4. Step 4: Simplify right side
    1,198.44x = 987,125.04
  5. Step 5: Solve for x
    x = 987,125.04/1,198.44
  6. Step 6: Final answer
    x = 823.67

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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.