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Finding the Fourth Proportional to 1,092.88, 1,638.78 and 545.38

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Solution

The fourth proportional to 1,092.88, 1,638.78 and 545.38 is: 817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.88 : 1,638.78 = 545.38 : x
  2. Step 2: Convert to fraction form
    1,092.88/1,638.78 = 545.38/x
  3. Step 3: Cross multiply
    1,092.88x = 1,638.78 × 545.38
  4. Step 4: Simplify right side
    1,092.88x = 893,757.84
  5. Step 5: Solve for x
    x = 893,757.84/1,092.88
  6. Step 6: Final answer
    x = 817.80

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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.