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Finding the Fourth Proportional to 822.64, 1,233.97 and 237.69

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Solution

The fourth proportional to 822.64, 1,233.97 and 237.69 is: 356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.64 : 1,233.97 = 237.69 : x
  2. Step 2: Convert to fraction form
    822.64/1,233.97 = 237.69/x
  3. Step 3: Cross multiply
    822.64x = 1,233.97 × 237.69
  4. Step 4: Simplify right side
    822.64x = 293,302.33
  5. Step 5: Solve for x
    x = 293,302.33/822.64
  6. Step 6: Final answer
    x = 356.54

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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.