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Finding the Fourth Proportional to 798.63, 1,198.12 and 250.75

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Solution

The fourth proportional to 798.63, 1,198.12 and 250.75 is: 376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.63 : 1,198.12 = 250.75 : x
  2. Step 2: Convert to fraction form
    798.63/1,198.12 = 250.75/x
  3. Step 3: Cross multiply
    798.63x = 1,198.12 × 250.75
  4. Step 4: Simplify right side
    798.63x = 300,428.59
  5. Step 5: Solve for x
    x = 300,428.59/798.63
  6. Step 6: Final answer
    x = 376.18

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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.