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Finding the Fourth Proportional to 1,443, 1,991.36 and 822

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Solution

The fourth proportional to 1,443, 1,991.36 and 822 is: 1,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443 : 1,991.36 = 822 : x
  2. Step 2: Convert to fraction form
    1,443/1,991.36 = 822/x
  3. Step 3: Cross multiply
    1,443x = 1,991.36 × 822
  4. Step 4: Simplify right side
    1,443x = 1,636,897.92
  5. Step 5: Solve for x
    x = 1,636,897.92/1,443
  6. Step 6: Final answer
    x = 1,134.37

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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.