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Finding the Fourth Proportional to 1,092.33, 1,638.48 and 442.62

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Solution

The fourth proportional to 1,092.33, 1,638.48 and 442.62 is: 663.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.33 : 1,638.48 = 442.62 : x
  2. Step 2: Convert to fraction form
    1,092.33/1,638.48 = 442.62/x
  3. Step 3: Cross multiply
    1,092.33x = 1,638.48 × 442.62
  4. Step 4: Simplify right side
    1,092.33x = 725,224.02
  5. Step 5: Solve for x
    x = 725,224.02/1,092.33
  6. Step 6: Final answer
    x = 663.92

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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.