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Finding the Fourth Proportional to 1,296.09, 1,943.32 and 680.55

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Solution

The fourth proportional to 1,296.09, 1,943.32 and 680.55 is: 1,020.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.09 : 1,943.32 = 680.55 : x
  2. Step 2: Convert to fraction form
    1,296.09/1,943.32 = 680.55/x
  3. Step 3: Cross multiply
    1,296.09x = 1,943.32 × 680.55
  4. Step 4: Simplify right side
    1,296.09x = 1,322,526.43
  5. Step 5: Solve for x
    x = 1,322,526.43/1,296.09
  6. Step 6: Final answer
    x = 1,020.40

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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.