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Finding the Fourth Proportional to 798.70, 1,198.18 and 250.88

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Solution

The fourth proportional to 798.70, 1,198.18 and 250.88 is: 376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.70 : 1,198.18 = 250.88 : x
  2. Step 2: Convert to fraction form
    798.70/1,198.18 = 250.88/x
  3. Step 3: Cross multiply
    798.70x = 1,198.18 × 250.88
  4. Step 4: Simplify right side
    798.70x = 300,599.40
  5. Step 5: Solve for x
    x = 300,599.40/798.70
  6. Step 6: Final answer
    x = 376.36

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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.