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Finding the Fourth Proportional to 822, 1,233 and 779.88

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Solution

The fourth proportional to 822, 1,233 and 779.88 is: 1,169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    822 : 1,233 = 779.88 : x
  2. Step 2: Convert to fraction form
    822/1,233 = 779.88/x
  3. Step 3: Cross multiply
    822x = 1,233 × 779.88
  4. Step 4: Simplify right side
    822x = 961,592.04
  5. Step 5: Solve for x
    x = 961,592.04/822
  6. Step 6: Final answer
    x = 1,169.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.