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Finding the Fourth Proportional to 1,231.56, 1,696.26 and 1,065.78

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Solution

The fourth proportional to 1,231.56, 1,696.26 and 1,065.78 is: 1,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.56 : 1,696.26 = 1,065.78 : x
  2. Step 2: Convert to fraction form
    1,231.56/1,696.26 = 1,065.78/x
  3. Step 3: Cross multiply
    1,231.56x = 1,696.26 × 1,065.78
  4. Step 4: Simplify right side
    1,231.56x = 1,807,839.98
  5. Step 5: Solve for x
    x = 1,807,839.98/1,231.56
  6. Step 6: Final answer
    x = 1,467.93

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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.