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Finding the Fourth Proportional to 892, 1,338 and 284

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Solution

The fourth proportional to 892, 1,338 and 284 is: 426

Step by Step Solution

  1. Step 1: Write the proportion equation
    892 : 1,338 = 284 : x
  2. Step 2: Convert to fraction form
    892/1,338 = 284/x
  3. Step 3: Cross multiply
    892x = 1,338 × 284
  4. Step 4: Simplify right side
    892x = 379,992
  5. Step 5: Solve for x
    x = 379,992/892
  6. Step 6: Final answer
    x = 426

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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.