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Finding the Fourth Proportional to 1,713.82, 2,571.16 and 481.23

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Solution

The fourth proportional to 1,713.82, 2,571.16 and 481.23 is: 721.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.82 : 2,571.16 = 481.23 : x
  2. Step 2: Convert to fraction form
    1,713.82/2,571.16 = 481.23/x
  3. Step 3: Cross multiply
    1,713.82x = 2,571.16 × 481.23
  4. Step 4: Simplify right side
    1,713.82x = 1,237,326.26
  5. Step 5: Solve for x
    x = 1,237,326.26/1,713.82
  6. Step 6: Final answer
    x = 721.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.