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Finding the Fourth Proportional to 1,832.91, 2,749.63 and 663

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Solution

The fourth proportional to 1,832.91, 2,749.63 and 663 is: 994.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.91 : 2,749.63 = 663 : x
  2. Step 2: Convert to fraction form
    1,832.91/2,749.63 = 663/x
  3. Step 3: Cross multiply
    1,832.91x = 2,749.63 × 663
  4. Step 4: Simplify right side
    1,832.91x = 1,823,004.69
  5. Step 5: Solve for x
    x = 1,823,004.69/1,832.91
  6. Step 6: Final answer
    x = 994.60

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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.