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Finding the Fourth Proportional to 1,396.06, 1,926.27 and 806.56

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Solution

The fourth proportional to 1,396.06, 1,926.27 and 806.56 is: 1,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.06 : 1,926.27 = 806.56 : x
  2. Step 2: Convert to fraction form
    1,396.06/1,926.27 = 806.56/x
  3. Step 3: Cross multiply
    1,396.06x = 1,926.27 × 806.56
  4. Step 4: Simplify right side
    1,396.06x = 1,553,652.33
  5. Step 5: Solve for x
    x = 1,553,652.33/1,396.06
  6. Step 6: Final answer
    x = 1,112.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.