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Finding the Fourth Proportional to 1,297, 1,789.86 and 773.74

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Solution

The fourth proportional to 1,297, 1,789.86 and 773.74 is: 1,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297 : 1,789.86 = 773.74 : x
  2. Step 2: Convert to fraction form
    1,297/1,789.86 = 773.74/x
  3. Step 3: Cross multiply
    1,297x = 1,789.86 × 773.74
  4. Step 4: Simplify right side
    1,297x = 1,384,886.28
  5. Step 5: Solve for x
    x = 1,384,886.28/1,297
  6. Step 6: Final answer
    x = 1,067.76

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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.