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Finding the Fourth Proportional to 1,331.23, 1,997.25 and 682.42

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Solution

The fourth proportional to 1,331.23, 1,997.25 and 682.42 is: 1,023.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.23 : 1,997.25 = 682.42 : x
  2. Step 2: Convert to fraction form
    1,331.23/1,997.25 = 682.42/x
  3. Step 3: Cross multiply
    1,331.23x = 1,997.25 × 682.42
  4. Step 4: Simplify right side
    1,331.23x = 1,362,963.35
  5. Step 5: Solve for x
    x = 1,362,963.35/1,331.23
  6. Step 6: Final answer
    x = 1,023.84

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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.