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Finding the Fourth Proportional to 1,296.23, 1,944.56 and 680.11

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Solution

The fourth proportional to 1,296.23, 1,944.56 and 680.11 is: 1,020.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.23 : 1,944.56 = 680.11 : x
  2. Step 2: Convert to fraction form
    1,296.23/1,944.56 = 680.11/x
  3. Step 3: Cross multiply
    1,296.23x = 1,944.56 × 680.11
  4. Step 4: Simplify right side
    1,296.23x = 1,322,511.54
  5. Step 5: Solve for x
    x = 1,322,511.54/1,296.23
  6. Step 6: Final answer
    x = 1,020.28

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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.