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Finding the Fourth Proportional to 1,504.92, 2,257.44 and 683.17

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Solution

The fourth proportional to 1,504.92, 2,257.44 and 683.17 is: 1,024.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.92 : 2,257.44 = 683.17 : x
  2. Step 2: Convert to fraction form
    1,504.92/2,257.44 = 683.17/x
  3. Step 3: Cross multiply
    1,504.92x = 2,257.44 × 683.17
  4. Step 4: Simplify right side
    1,504.92x = 1,542,215.28
  5. Step 5: Solve for x
    x = 1,542,215.28/1,504.92
  6. Step 6: Final answer
    x = 1,024.78

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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.