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Finding the Fourth Proportional to 1,258.36, 1,736.62 and 727.35

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Solution

The fourth proportional to 1,258.36, 1,736.62 and 727.35 is: 1,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.36 : 1,736.62 = 727.35 : x
  2. Step 2: Convert to fraction form
    1,258.36/1,736.62 = 727.35/x
  3. Step 3: Cross multiply
    1,258.36x = 1,736.62 × 727.35
  4. Step 4: Simplify right side
    1,258.36x = 1,263,121.87
  5. Step 5: Solve for x
    x = 1,263,121.87/1,258.36
  6. Step 6: Final answer
    x = 1,003.78

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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.