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Finding the Fourth Proportional to 936.21, 1,292.01 and 563.22

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Solution

The fourth proportional to 936.21, 1,292.01 and 563.22 is: 777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.21 : 1,292.01 = 563.22 : x
  2. Step 2: Convert to fraction form
    936.21/1,292.01 = 563.22/x
  3. Step 3: Cross multiply
    936.21x = 1,292.01 × 563.22
  4. Step 4: Simplify right side
    936.21x = 727,685.87
  5. Step 5: Solve for x
    x = 727,685.87/936.21
  6. Step 6: Final answer
    x = 777.27

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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.