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Finding the Fourth Proportional to 1,297.51, 1,790.37 and 773.44

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Solution

The fourth proportional to 1,297.51, 1,790.37 and 773.44 is: 1,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.51 : 1,790.37 = 773.44 : x
  2. Step 2: Convert to fraction form
    1,297.51/1,790.37 = 773.44/x
  3. Step 3: Cross multiply
    1,297.51x = 1,790.37 × 773.44
  4. Step 4: Simplify right side
    1,297.51x = 1,384,739.30
  5. Step 5: Solve for x
    x = 1,384,739.30/1,297.51
  6. Step 6: Final answer
    x = 1,067.23

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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.