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Finding the Fourth Proportional to 694.97, 1,042.46 and 181.97

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Solution

The fourth proportional to 694.97, 1,042.46 and 181.97 is: 272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.97 : 1,042.46 = 181.97 : x
  2. Step 2: Convert to fraction form
    694.97/1,042.46 = 181.97/x
  3. Step 3: Cross multiply
    694.97x = 1,042.46 × 181.97
  4. Step 4: Simplify right side
    694.97x = 189,698.14
  5. Step 5: Solve for x
    x = 189,698.14/694.97
  6. Step 6: Final answer
    x = 272.96

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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.