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Finding the Fourth Proportional to 1,331.83, 1,997.79 and 682.06

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Solution

The fourth proportional to 1,331.83, 1,997.79 and 682.06 is: 1,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,331.83 : 1,997.79 = 682.06 : x
  2. Step 2: Convert to fraction form
    1,331.83/1,997.79 = 682.06/x
  3. Step 3: Cross multiply
    1,331.83x = 1,997.79 × 682.06
  4. Step 4: Simplify right side
    1,331.83x = 1,362,612.65
  5. Step 5: Solve for x
    x = 1,362,612.65/1,331.83
  6. Step 6: Final answer
    x = 1,023.11

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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.