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Finding the Fourth Proportional to 1,092.39, 1,638.86 and 362.03

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Solution

The fourth proportional to 1,092.39, 1,638.86 and 362.03 is: 543.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.39 : 1,638.86 = 362.03 : x
  2. Step 2: Convert to fraction form
    1,092.39/1,638.86 = 362.03/x
  3. Step 3: Cross multiply
    1,092.39x = 1,638.86 × 362.03
  4. Step 4: Simplify right side
    1,092.39x = 593,306.48
  5. Step 5: Solve for x
    x = 593,306.48/1,092.39
  6. Step 6: Final answer
    x = 543.13

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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.