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Finding the Fourth Proportional to 1,396.98, 2,096.23 and 849.54

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Solution

The fourth proportional to 1,396.98, 2,096.23 and 849.54 is: 1,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.98 : 2,096.23 = 849.54 : x
  2. Step 2: Convert to fraction form
    1,396.98/2,096.23 = 849.54/x
  3. Step 3: Cross multiply
    1,396.98x = 2,096.23 × 849.54
  4. Step 4: Simplify right side
    1,396.98x = 1,780,837.54
  5. Step 5: Solve for x
    x = 1,780,837.54/1,396.98
  6. Step 6: Final answer
    x = 1,274.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.