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Finding the Fourth Proportional to 979.94, 1,469.92 and 249.52

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Solution

The fourth proportional to 979.94, 1,469.92 and 249.52 is: 374.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.94 : 1,469.92 = 249.52 : x
  2. Step 2: Convert to fraction form
    979.94/1,469.92 = 249.52/x
  3. Step 3: Cross multiply
    979.94x = 1,469.92 × 249.52
  4. Step 4: Simplify right side
    979.94x = 366,774.44
  5. Step 5: Solve for x
    x = 366,774.44/979.94
  6. Step 6: Final answer
    x = 374.28

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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.