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Finding the Fourth Proportional to 1,504.56, 2,257.73 and 682.82

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Solution

The fourth proportional to 1,504.56, 2,257.73 and 682.82 is: 1,024.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.56 : 2,257.73 = 682.82 : x
  2. Step 2: Convert to fraction form
    1,504.56/2,257.73 = 682.82/x
  3. Step 3: Cross multiply
    1,504.56x = 2,257.73 × 682.82
  4. Step 4: Simplify right side
    1,504.56x = 1,541,614.67
  5. Step 5: Solve for x
    x = 1,541,614.67/1,504.56
  6. Step 6: Final answer
    x = 1,024.63

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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.