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Finding the Fourth Proportional to 1,092.41, 1,638.59 and 270.67

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Solution

The fourth proportional to 1,092.41, 1,638.59 and 270.67 is: 406.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.41 : 1,638.59 = 270.67 : x
  2. Step 2: Convert to fraction form
    1,092.41/1,638.59 = 270.67/x
  3. Step 3: Cross multiply
    1,092.41x = 1,638.59 × 270.67
  4. Step 4: Simplify right side
    1,092.41x = 443,517.16
  5. Step 5: Solve for x
    x = 443,517.16/1,092.41
  6. Step 6: Final answer
    x = 406.00

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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.