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Finding the Fourth Proportional to 1,296.10, 1,944.01 and 679.56

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Solution

The fourth proportional to 1,296.10, 1,944.01 and 679.56 is: 1,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.10 : 1,944.01 = 679.56 : x
  2. Step 2: Convert to fraction form
    1,296.10/1,944.01 = 679.56/x
  3. Step 3: Cross multiply
    1,296.10x = 1,944.01 × 679.56
  4. Step 4: Simplify right side
    1,296.10x = 1,321,071.44
  5. Step 5: Solve for x
    x = 1,321,071.44/1,296.10
  6. Step 6: Final answer
    x = 1,019.27

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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.