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Finding the Fourth Proportional to 1,296.34, 1,943.07 and 680.12

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Solution

The fourth proportional to 1,296.34, 1,943.07 and 680.12 is: 1,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.34 : 1,943.07 = 680.12 : x
  2. Step 2: Convert to fraction form
    1,296.34/1,943.07 = 680.12/x
  3. Step 3: Cross multiply
    1,296.34x = 1,943.07 × 680.12
  4. Step 4: Simplify right side
    1,296.34x = 1,321,508.50
  5. Step 5: Solve for x
    x = 1,321,508.50/1,296.34
  6. Step 6: Final answer
    x = 1,019.42

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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.