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Finding the Fourth Proportional to 1,297.09, 1,943.83 and 712.09

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Solution

The fourth proportional to 1,297.09, 1,943.83 and 712.09 is: 1,067.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.09 : 1,943.83 = 712.09 : x
  2. Step 2: Convert to fraction form
    1,297.09/1,943.83 = 712.09/x
  3. Step 3: Cross multiply
    1,297.09x = 1,943.83 × 712.09
  4. Step 4: Simplify right side
    1,297.09x = 1,384,181.90
  5. Step 5: Solve for x
    x = 1,384,181.90/1,297.09
  6. Step 6: Final answer
    x = 1,067.14

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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.