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Finding the Fourth Proportional to 826.96, 1,243.32 and 665.80

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Solution

The fourth proportional to 826.96, 1,243.32 and 665.80 is: 1,001.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.96 : 1,243.32 = 665.80 : x
  2. Step 2: Convert to fraction form
    826.96/1,243.32 = 665.80/x
  3. Step 3: Cross multiply
    826.96x = 1,243.32 × 665.80
  4. Step 4: Simplify right side
    826.96x = 827,802.46
  5. Step 5: Solve for x
    x = 827,802.46/826.96
  6. Step 6: Final answer
    x = 1,001.02

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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.