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Finding the Fourth Proportional to 1,296.92, 1,789.26 and 831.44

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Solution

The fourth proportional to 1,296.92, 1,789.26 and 831.44 is: 1,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.92 : 1,789.26 = 831.44 : x
  2. Step 2: Convert to fraction form
    1,296.92/1,789.26 = 831.44/x
  3. Step 3: Cross multiply
    1,296.92x = 1,789.26 × 831.44
  4. Step 4: Simplify right side
    1,296.92x = 1,487,653.39
  5. Step 5: Solve for x
    x = 1,487,653.39/1,296.92
  6. Step 6: Final answer
    x = 1,147.07

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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.