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Finding the Fourth Proportional to 822.57, 1,233.86 and 206.27

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Solution

The fourth proportional to 822.57, 1,233.86 and 206.27 is: 309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.57 : 1,233.86 = 206.27 : x
  2. Step 2: Convert to fraction form
    822.57/1,233.86 = 206.27/x
  3. Step 3: Cross multiply
    822.57x = 1,233.86 × 206.27
  4. Step 4: Simplify right side
    822.57x = 254,510.36
  5. Step 5: Solve for x
    x = 254,510.36/822.57
  6. Step 6: Final answer
    x = 309.41

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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.