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Finding the Fourth Proportional to 1,092.82, 1,638.62 and 362

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Solution

The fourth proportional to 1,092.82, 1,638.62 and 362 is: 542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.82 : 1,638.62 = 362 : x
  2. Step 2: Convert to fraction form
    1,092.82/1,638.62 = 362/x
  3. Step 3: Cross multiply
    1,092.82x = 1,638.62 × 362
  4. Step 4: Simplify right side
    1,092.82x = 593,180.44
  5. Step 5: Solve for x
    x = 593,180.44/1,092.82
  6. Step 6: Final answer
    x = 542.80

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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.