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Finding the Fourth Proportional to 1,211, 1,671.36 and 713.48

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Solution

The fourth proportional to 1,211, 1,671.36 and 713.48 is: 984.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211 : 1,671.36 = 713.48 : x
  2. Step 2: Convert to fraction form
    1,211/1,671.36 = 713.48/x
  3. Step 3: Cross multiply
    1,211x = 1,671.36 × 713.48
  4. Step 4: Simplify right side
    1,211x = 1,192,481.93
  5. Step 5: Solve for x
    x = 1,192,481.93/1,211
  6. Step 6: Final answer
    x = 984.71

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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.