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Finding the Fourth Proportional to 792.05, 1,092.78 and 477.23

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Solution

The fourth proportional to 792.05, 1,092.78 and 477.23 is: 658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.05 : 1,092.78 = 477.23 : x
  2. Step 2: Convert to fraction form
    792.05/1,092.78 = 477.23/x
  3. Step 3: Cross multiply
    792.05x = 1,092.78 × 477.23
  4. Step 4: Simplify right side
    792.05x = 521,501.94
  5. Step 5: Solve for x
    x = 521,501.94/792.05
  6. Step 6: Final answer
    x = 658.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.