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Finding the Fourth Proportional to 681.34, 1,021.38 and 270.40

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Solution

The fourth proportional to 681.34, 1,021.38 and 270.40 is: 405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.34 : 1,021.38 = 270.40 : x
  2. Step 2: Convert to fraction form
    681.34/1,021.38 = 270.40/x
  3. Step 3: Cross multiply
    681.34x = 1,021.38 × 270.40
  4. Step 4: Simplify right side
    681.34x = 276,181.15
  5. Step 5: Solve for x
    x = 276,181.15/681.34
  6. Step 6: Final answer
    x = 405.35

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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.