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Finding the Fourth Proportional to 1,994.82, 2,992.25 and 696.29

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Solution

The fourth proportional to 1,994.82, 2,992.25 and 696.29 is: 1,044.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994.82 : 2,992.25 = 696.29 : x
  2. Step 2: Convert to fraction form
    1,994.82/2,992.25 = 696.29/x
  3. Step 3: Cross multiply
    1,994.82x = 2,992.25 × 696.29
  4. Step 4: Simplify right side
    1,994.82x = 2,083,470.27
  5. Step 5: Solve for x
    x = 2,083,470.27/1,994.82
  6. Step 6: Final answer
    x = 1,044.44

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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.