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Finding the Fourth Proportional to 829.01, 1,243.31 and 341.97

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Solution

The fourth proportional to 829.01, 1,243.31 and 341.97 is: 512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.01 : 1,243.31 = 341.97 : x
  2. Step 2: Convert to fraction form
    829.01/1,243.31 = 341.97/x
  3. Step 3: Cross multiply
    829.01x = 1,243.31 × 341.97
  4. Step 4: Simplify right side
    829.01x = 425,173.01
  5. Step 5: Solve for x
    x = 425,173.01/829.01
  6. Step 6: Final answer
    x = 512.87

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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.