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Finding the Fourth Proportional to 1,296.81, 1,789.88 and 773.19

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Solution

The fourth proportional to 1,296.81, 1,789.88 and 773.19 is: 1,067.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.81 : 1,789.88 = 773.19 : x
  2. Step 2: Convert to fraction form
    1,296.81/1,789.88 = 773.19/x
  3. Step 3: Cross multiply
    1,296.81x = 1,789.88 × 773.19
  4. Step 4: Simplify right side
    1,296.81x = 1,383,913.45
  5. Step 5: Solve for x
    x = 1,383,913.45/1,296.81
  6. Step 6: Final answer
    x = 1,067.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.