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Finding the Fourth Proportional to 1,092.96, 1,638.84 and 362.28

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Solution

The fourth proportional to 1,092.96, 1,638.84 and 362.28 is: 543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.96 : 1,638.84 = 362.28 : x
  2. Step 2: Convert to fraction form
    1,092.96/1,638.84 = 362.28/x
  3. Step 3: Cross multiply
    1,092.96x = 1,638.84 × 362.28
  4. Step 4: Simplify right side
    1,092.96x = 593,718.96
  5. Step 5: Solve for x
    x = 593,718.96/1,092.96
  6. Step 6: Final answer
    x = 543.22

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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.