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Finding the Fourth Proportional to 1,255.11, 1,731.93 and 695.49

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Solution

The fourth proportional to 1,255.11, 1,731.93 and 695.49 is: 959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.11 : 1,731.93 = 695.49 : x
  2. Step 2: Convert to fraction form
    1,255.11/1,731.93 = 695.49/x
  3. Step 3: Cross multiply
    1,255.11x = 1,731.93 × 695.49
  4. Step 4: Simplify right side
    1,255.11x = 1,204,540.00
  5. Step 5: Solve for x
    x = 1,204,540.00/1,255.11
  6. Step 6: Final answer
    x = 959.71

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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.