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Finding the Fourth Proportional to 1,297.93, 1,791.17 and 708.49

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Solution

The fourth proportional to 1,297.93, 1,791.17 and 708.49 is: 977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.93 : 1,791.17 = 708.49 : x
  2. Step 2: Convert to fraction form
    1,297.93/1,791.17 = 708.49/x
  3. Step 3: Cross multiply
    1,297.93x = 1,791.17 × 708.49
  4. Step 4: Simplify right side
    1,297.93x = 1,269,026.03
  5. Step 5: Solve for x
    x = 1,269,026.03/1,297.93
  6. Step 6: Final answer
    x = 977.73

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