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Finding the Fourth Proportional to 1,213.33, 1,816.41 and 822.31

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Solution

The fourth proportional to 1,213.33, 1,816.41 and 822.31 is: 1,231.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.33 : 1,816.41 = 822.31 : x
  2. Step 2: Convert to fraction form
    1,213.33/1,816.41 = 822.31/x
  3. Step 3: Cross multiply
    1,213.33x = 1,816.41 × 822.31
  4. Step 4: Simplify right side
    1,213.33x = 1,493,652.11
  5. Step 5: Solve for x
    x = 1,493,652.11/1,213.33
  6. Step 6: Final answer
    x = 1,231.04

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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.