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Finding the Fourth Proportional to 1,713.67, 2,570.11 and 481.20

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Solution

The fourth proportional to 1,713.67, 2,570.11 and 481.20 is: 721.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713.67 : 2,570.11 = 481.20 : x
  2. Step 2: Convert to fraction form
    1,713.67/2,570.11 = 481.20/x
  3. Step 3: Cross multiply
    1,713.67x = 2,570.11 × 481.20
  4. Step 4: Simplify right side
    1,713.67x = 1,236,735.73
  5. Step 5: Solve for x
    x = 1,236,735.73/1,713.67
  6. Step 6: Final answer
    x = 721.69

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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.