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Finding the Fourth Proportional to 1,294.35, 1,940.42 and 563.37

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Solution

The fourth proportional to 1,294.35, 1,940.42 and 563.37 is: 844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,294.35 : 1,940.42 = 563.37 : x
  2. Step 2: Convert to fraction form
    1,294.35/1,940.42 = 563.37/x
  3. Step 3: Cross multiply
    1,294.35x = 1,940.42 × 563.37
  4. Step 4: Simplify right side
    1,294.35x = 1,093,168.55
  5. Step 5: Solve for x
    x = 1,093,168.55/1,294.35
  6. Step 6: Final answer
    x = 844.57

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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.