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Finding the Fourth Proportional to 1,504.28, 2,255.34 and 682.13

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Solution

The fourth proportional to 1,504.28, 2,255.34 and 682.13 is: 1,022.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.28 : 2,255.34 = 682.13 : x
  2. Step 2: Convert to fraction form
    1,504.28/2,255.34 = 682.13/x
  3. Step 3: Cross multiply
    1,504.28x = 2,255.34 × 682.13
  4. Step 4: Simplify right side
    1,504.28x = 1,538,435.07
  5. Step 5: Solve for x
    x = 1,538,435.07/1,504.28
  6. Step 6: Final answer
    x = 1,022.71

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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.