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Finding the Fourth Proportional to 843.21, 1,262.99 and 822.56

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Solution

The fourth proportional to 843.21, 1,262.99 and 822.56 is: 1,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.21 : 1,262.99 = 822.56 : x
  2. Step 2: Convert to fraction form
    843.21/1,262.99 = 822.56/x
  3. Step 3: Cross multiply
    843.21x = 1,262.99 × 822.56
  4. Step 4: Simplify right side
    843.21x = 1,038,880.80
  5. Step 5: Solve for x
    x = 1,038,880.80/843.21
  6. Step 6: Final answer
    x = 1,232.05

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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.