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Finding the Fourth Proportional to 1,236.75, 1,707.02 and 713.09

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Solution

The fourth proportional to 1,236.75, 1,707.02 and 713.09 is: 984.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.75 : 1,707.02 = 713.09 : x
  2. Step 2: Convert to fraction form
    1,236.75/1,707.02 = 713.09/x
  3. Step 3: Cross multiply
    1,236.75x = 1,707.02 × 713.09
  4. Step 4: Simplify right side
    1,236.75x = 1,217,246.79
  5. Step 5: Solve for x
    x = 1,217,246.79/1,236.75
  6. Step 6: Final answer
    x = 984.23

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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.