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Finding the Fourth Proportional to 1,788.26, 2,682.38 and 633.20

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Solution

The fourth proportional to 1,788.26, 2,682.38 and 633.20 is: 949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,788.26 : 2,682.38 = 633.20 : x
  2. Step 2: Convert to fraction form
    1,788.26/2,682.38 = 633.20/x
  3. Step 3: Cross multiply
    1,788.26x = 2,682.38 × 633.20
  4. Step 4: Simplify right side
    1,788.26x = 1,698,466.44
  5. Step 5: Solve for x
    x = 1,698,466.44/1,788.26
  6. Step 6: Final answer
    x = 949.79

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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.