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Finding the Fourth Proportional to 792.25, 1,093.62 and 497.44

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Solution

The fourth proportional to 792.25, 1,093.62 and 497.44 is: 686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.25 : 1,093.62 = 497.44 : x
  2. Step 2: Convert to fraction form
    792.25/1,093.62 = 497.44/x
  3. Step 3: Cross multiply
    792.25x = 1,093.62 × 497.44
  4. Step 4: Simplify right side
    792.25x = 544,010.33
  5. Step 5: Solve for x
    x = 544,010.33/792.25
  6. Step 6: Final answer
    x = 686.66

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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.