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Finding the Fourth Proportional to 792.97, 1,093.78 and 497.98

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Solution

The fourth proportional to 792.97, 1,093.78 and 497.98 is: 686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.97 : 1,093.78 = 497.98 : x
  2. Step 2: Convert to fraction form
    792.97/1,093.78 = 497.98/x
  3. Step 3: Cross multiply
    792.97x = 1,093.78 × 497.98
  4. Step 4: Simplify right side
    792.97x = 544,680.56
  5. Step 5: Solve for x
    x = 544,680.56/792.97
  6. Step 6: Final answer
    x = 686.89

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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.