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Finding the Fourth Proportional to 1,092.24, 1,638.72 and 442.80

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Solution

The fourth proportional to 1,092.24, 1,638.72 and 442.80 is: 664.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.24 : 1,638.72 = 442.80 : x
  2. Step 2: Convert to fraction form
    1,092.24/1,638.72 = 442.80/x
  3. Step 3: Cross multiply
    1,092.24x = 1,638.72 × 442.80
  4. Step 4: Simplify right side
    1,092.24x = 725,625.22
  5. Step 5: Solve for x
    x = 725,625.22/1,092.24
  6. Step 6: Final answer
    x = 664.35

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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.