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Finding the Fourth Proportional to 1,092.26, 1,638.72 and 362.34

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Solution

The fourth proportional to 1,092.26, 1,638.72 and 362.34 is: 543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.26 : 1,638.72 = 362.34 : x
  2. Step 2: Convert to fraction form
    1,092.26/1,638.72 = 362.34/x
  3. Step 3: Cross multiply
    1,092.26x = 1,638.72 × 362.34
  4. Step 4: Simplify right side
    1,092.26x = 593,773.80
  5. Step 5: Solve for x
    x = 593,773.80/1,092.26
  6. Step 6: Final answer
    x = 543.62

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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.