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Finding the Fourth Proportional to 1,092.90, 1,638.30 and 362.10

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Solution

The fourth proportional to 1,092.90, 1,638.30 and 362.10 is: 542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.90 : 1,638.30 = 362.10 : x
  2. Step 2: Convert to fraction form
    1,092.90/1,638.30 = 362.10/x
  3. Step 3: Cross multiply
    1,092.90x = 1,638.30 × 362.10
  4. Step 4: Simplify right side
    1,092.90x = 593,228.43
  5. Step 5: Solve for x
    x = 593,228.43/1,092.90
  6. Step 6: Final answer
    x = 542.80

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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.