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Finding the Fourth Proportional to 1,297.97, 1,791.14 and 708.51

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Solution

The fourth proportional to 1,297.97, 1,791.14 and 708.51 is: 977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.97 : 1,791.14 = 708.51 : x
  2. Step 2: Convert to fraction form
    1,297.97/1,791.14 = 708.51/x
  3. Step 3: Cross multiply
    1,297.97x = 1,791.14 × 708.51
  4. Step 4: Simplify right side
    1,297.97x = 1,269,037.06
  5. Step 5: Solve for x
    x = 1,269,037.06/1,297.97
  6. Step 6: Final answer
    x = 977.71

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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.