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Finding the Fourth Proportional to 822.29, 1,233.49 and 206.06

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Solution

The fourth proportional to 822.29, 1,233.49 and 206.06 is: 309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.29 : 1,233.49 = 206.06 : x
  2. Step 2: Convert to fraction form
    822.29/1,233.49 = 206.06/x
  3. Step 3: Cross multiply
    822.29x = 1,233.49 × 206.06
  4. Step 4: Simplify right side
    822.29x = 254,168.68
  5. Step 5: Solve for x
    x = 254,168.68/822.29
  6. Step 6: Final answer
    x = 309.10

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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.