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Finding the Fourth Proportional to 1,198.34, 1,797.69 and 613.03

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Solution

The fourth proportional to 1,198.34, 1,797.69 and 613.03 is: 919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.34 : 1,797.69 = 613.03 : x
  2. Step 2: Convert to fraction form
    1,198.34/1,797.69 = 613.03/x
  3. Step 3: Cross multiply
    1,198.34x = 1,797.69 × 613.03
  4. Step 4: Simplify right side
    1,198.34x = 1,102,025.85
  5. Step 5: Solve for x
    x = 1,102,025.85/1,198.34
  6. Step 6: Final answer
    x = 919.63

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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.