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Finding the Fourth Proportional to 798.94, 1,198.41 and 278.96

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Solution

The fourth proportional to 798.94, 1,198.41 and 278.96 is: 418.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.94 : 1,198.41 = 278.96 : x
  2. Step 2: Convert to fraction form
    798.94/1,198.41 = 278.96/x
  3. Step 3: Cross multiply
    798.94x = 1,198.41 × 278.96
  4. Step 4: Simplify right side
    798.94x = 334,303.49
  5. Step 5: Solve for x
    x = 334,303.49/798.94
  6. Step 6: Final answer
    x = 418.43

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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.