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Finding the Fourth Proportional to 682.06, 1,022.73 and 270.94

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Solution

The fourth proportional to 682.06, 1,022.73 and 270.94 is: 406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.06 : 1,022.73 = 270.94 : x
  2. Step 2: Convert to fraction form
    682.06/1,022.73 = 270.94/x
  3. Step 3: Cross multiply
    682.06x = 1,022.73 × 270.94
  4. Step 4: Simplify right side
    682.06x = 277,098.47
  5. Step 5: Solve for x
    x = 277,098.47/682.06
  6. Step 6: Final answer
    x = 406.27

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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.