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Finding the Fourth Proportional to 826.22, 1,244.23 and 719.30

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Solution

The fourth proportional to 826.22, 1,244.23 and 719.30 is: 1,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.22 : 1,244.23 = 719.30 : x
  2. Step 2: Convert to fraction form
    826.22/1,244.23 = 719.30/x
  3. Step 3: Cross multiply
    826.22x = 1,244.23 × 719.30
  4. Step 4: Simplify right side
    826.22x = 894,974.64
  5. Step 5: Solve for x
    x = 894,974.64/826.22
  6. Step 6: Final answer
    x = 1,083.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.