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Finding the Fourth Proportional to 1,092.45, 1,638.63 and 443.18

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Solution

The fourth proportional to 1,092.45, 1,638.63 and 443.18 is: 664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.45 : 1,638.63 = 443.18 : x
  2. Step 2: Convert to fraction form
    1,092.45/1,638.63 = 443.18/x
  3. Step 3: Cross multiply
    1,092.45x = 1,638.63 × 443.18
  4. Step 4: Simplify right side
    1,092.45x = 726,199.85
  5. Step 5: Solve for x
    x = 726,199.85/1,092.45
  6. Step 6: Final answer
    x = 664.74

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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.