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Finding the Fourth Proportional to 1,293.82, 1,940.38 and 563.22

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Solution

The fourth proportional to 1,293.82, 1,940.38 and 563.22 is: 844.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.82 : 1,940.38 = 563.22 : x
  2. Step 2: Convert to fraction form
    1,293.82/1,940.38 = 563.22/x
  3. Step 3: Cross multiply
    1,293.82x = 1,940.38 × 563.22
  4. Step 4: Simplify right side
    1,293.82x = 1,092,860.82
  5. Step 5: Solve for x
    x = 1,092,860.82/1,293.82
  6. Step 6: Final answer
    x = 844.68

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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.