Home / 1,243.62-1,716.28-823.24

Finding the Fourth Proportional to 1,243.62, 1,716.28 and 823.24

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Solution

The fourth proportional to 1,243.62, 1,716.28 and 823.24 is: 1,136.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.62 : 1,716.28 = 823.24 : x
  2. Step 2: Convert to fraction form
    1,243.62/1,716.28 = 823.24/x
  3. Step 3: Cross multiply
    1,243.62x = 1,716.28 × 823.24
  4. Step 4: Simplify right side
    1,243.62x = 1,412,910.43
  5. Step 5: Solve for x
    x = 1,412,910.43/1,243.62
  6. Step 6: Final answer
    x = 1,136.13

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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.