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Finding the Fourth Proportional to 822.38, 1,233.59 and 206.08

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Solution

The fourth proportional to 822.38, 1,233.59 and 206.08 is: 309.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.38 : 1,233.59 = 206.08 : x
  2. Step 2: Convert to fraction form
    822.38/1,233.59 = 206.08/x
  3. Step 3: Cross multiply
    822.38x = 1,233.59 × 206.08
  4. Step 4: Simplify right side
    822.38x = 254,214.11
  5. Step 5: Solve for x
    x = 254,214.11/822.38
  6. Step 6: Final answer
    x = 309.12

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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.