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Finding the Fourth Proportional to 1,497.89, 2,067.11 and 868.45

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Solution

The fourth proportional to 1,497.89, 2,067.11 and 868.45 is: 1,198.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.89 : 2,067.11 = 868.45 : x
  2. Step 2: Convert to fraction form
    1,497.89/2,067.11 = 868.45/x
  3. Step 3: Cross multiply
    1,497.89x = 2,067.11 × 868.45
  4. Step 4: Simplify right side
    1,497.89x = 1,795,181.68
  5. Step 5: Solve for x
    x = 1,795,181.68/1,497.89
  6. Step 6: Final answer
    x = 1,198.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.