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Finding the Fourth Proportional to 1,348.73, 1,861.28 and 759.28

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Solution

The fourth proportional to 1,348.73, 1,861.28 and 759.28 is: 1,047.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.73 : 1,861.28 = 759.28 : x
  2. Step 2: Convert to fraction form
    1,348.73/1,861.28 = 759.28/x
  3. Step 3: Cross multiply
    1,348.73x = 1,861.28 × 759.28
  4. Step 4: Simplify right side
    1,348.73x = 1,413,237.33
  5. Step 5: Solve for x
    x = 1,413,237.33/1,348.73
  6. Step 6: Final answer
    x = 1,047.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.