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Finding the Fourth Proportional to 1,092.23, 1,637.27 and 543.59

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Solution

The fourth proportional to 1,092.23, 1,637.27 and 543.59 is: 814.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.23 : 1,637.27 = 543.59 : x
  2. Step 2: Convert to fraction form
    1,092.23/1,637.27 = 543.59/x
  3. Step 3: Cross multiply
    1,092.23x = 1,637.27 × 543.59
  4. Step 4: Simplify right side
    1,092.23x = 890,000.88
  5. Step 5: Solve for x
    x = 890,000.88/1,092.23
  6. Step 6: Final answer
    x = 814.85

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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.