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Finding the Fourth Proportional to 1,503.25, 2,255.07 and 681.73

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Solution

The fourth proportional to 1,503.25, 2,255.07 and 681.73 is: 1,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.25 : 2,255.07 = 681.73 : x
  2. Step 2: Convert to fraction form
    1,503.25/2,255.07 = 681.73/x
  3. Step 3: Cross multiply
    1,503.25x = 2,255.07 × 681.73
  4. Step 4: Simplify right side
    1,503.25x = 1,537,348.87
  5. Step 5: Solve for x
    x = 1,537,348.87/1,503.25
  6. Step 6: Final answer
    x = 1,022.68

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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.