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Finding the Fourth Proportional to 1,213.46, 1,662.91 and 1,096.82

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Solution

The fourth proportional to 1,213.46, 1,662.91 and 1,096.82 is: 1,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.46 : 1,662.91 = 1,096.82 : x
  2. Step 2: Convert to fraction form
    1,213.46/1,662.91 = 1,096.82/x
  3. Step 3: Cross multiply
    1,213.46x = 1,662.91 × 1,096.82
  4. Step 4: Simplify right side
    1,213.46x = 1,823,912.95
  5. Step 5: Solve for x
    x = 1,823,912.95/1,213.46
  6. Step 6: Final answer
    x = 1,503.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.