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Finding the Fourth Proportional to 792.22, 1,092.75 and 497.23

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Solution

The fourth proportional to 792.22, 1,092.75 and 497.23 is: 685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.22 : 1,092.75 = 497.23 : x
  2. Step 2: Convert to fraction form
    792.22/1,092.75 = 497.23/x
  3. Step 3: Cross multiply
    792.22x = 1,092.75 × 497.23
  4. Step 4: Simplify right side
    792.22x = 543,348.08
  5. Step 5: Solve for x
    x = 543,348.08/792.22
  6. Step 6: Final answer
    x = 685.86

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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.