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Finding the Fourth Proportional to 1,505, 2,257.49 and 683.26

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Solution

The fourth proportional to 1,505, 2,257.49 and 683.26 is: 1,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505 : 2,257.49 = 683.26 : x
  2. Step 2: Convert to fraction form
    1,505/2,257.49 = 683.26/x
  3. Step 3: Cross multiply
    1,505x = 2,257.49 × 683.26
  4. Step 4: Simplify right side
    1,505x = 1,542,452.62
  5. Step 5: Solve for x
    x = 1,542,452.62/1,505
  6. Step 6: Final answer
    x = 1,024.89

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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.