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Finding the Fourth Proportional to 1,422.73, 1,963.29 and 833.23

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Solution

The fourth proportional to 1,422.73, 1,963.29 and 833.23 is: 1,149.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.73 : 1,963.29 = 833.23 : x
  2. Step 2: Convert to fraction form
    1,422.73/1,963.29 = 833.23/x
  3. Step 3: Cross multiply
    1,422.73x = 1,963.29 × 833.23
  4. Step 4: Simplify right side
    1,422.73x = 1,635,872.13
  5. Step 5: Solve for x
    x = 1,635,872.13/1,422.73
  6. Step 6: Final answer
    x = 1,149.81

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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.