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Finding the Fourth Proportional to 1,293.89, 1,940.37 and 563.29

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Solution

The fourth proportional to 1,293.89, 1,940.37 and 563.29 is: 844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.89 : 1,940.37 = 563.29 : x
  2. Step 2: Convert to fraction form
    1,293.89/1,940.37 = 563.29/x
  3. Step 3: Cross multiply
    1,293.89x = 1,940.37 × 563.29
  4. Step 4: Simplify right side
    1,293.89x = 1,092,991.02
  5. Step 5: Solve for x
    x = 1,092,991.02/1,293.89
  6. Step 6: Final answer
    x = 844.73

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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.