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Finding the Fourth Proportional to 1,144.82, 1,715.88 and 939.80

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Solution

The fourth proportional to 1,144.82, 1,715.88 and 939.80 is: 1,408.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.82 : 1,715.88 = 939.80 : x
  2. Step 2: Convert to fraction form
    1,144.82/1,715.88 = 939.80/x
  3. Step 3: Cross multiply
    1,144.82x = 1,715.88 × 939.80
  4. Step 4: Simplify right side
    1,144.82x = 1,612,584.02
  5. Step 5: Solve for x
    x = 1,612,584.02/1,144.82
  6. Step 6: Final answer
    x = 1,408.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.