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Finding the Fourth Proportional to 1,198.04, 1,797.14 and 418.13

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Solution

The fourth proportional to 1,198.04, 1,797.14 and 418.13 is: 627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.04 : 1,797.14 = 418.13 : x
  2. Step 2: Convert to fraction form
    1,198.04/1,797.14 = 418.13/x
  3. Step 3: Cross multiply
    1,198.04x = 1,797.14 × 418.13
  4. Step 4: Simplify right side
    1,198.04x = 751,438.15
  5. Step 5: Solve for x
    x = 751,438.15/1,198.04
  6. Step 6: Final answer
    x = 627.22

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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.