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Finding the Fourth Proportional to 936.80, 1,293.03 and 563.80

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Solution

The fourth proportional to 936.80, 1,293.03 and 563.80 is: 778.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.80 : 1,293.03 = 563.80 : x
  2. Step 2: Convert to fraction form
    936.80/1,293.03 = 563.80/x
  3. Step 3: Cross multiply
    936.80x = 1,293.03 × 563.80
  4. Step 4: Simplify right side
    936.80x = 729,010.31
  5. Step 5: Solve for x
    x = 729,010.31/936.80
  6. Step 6: Final answer
    x = 778.19

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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.