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Finding the Fourth Proportional to 792.34, 1,187.79 and 329.83

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Solution

The fourth proportional to 792.34, 1,187.79 and 329.83 is: 494.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.34 : 1,187.79 = 329.83 : x
  2. Step 2: Convert to fraction form
    792.34/1,187.79 = 329.83/x
  3. Step 3: Cross multiply
    792.34x = 1,187.79 × 329.83
  4. Step 4: Simplify right side
    792.34x = 391,768.78
  5. Step 5: Solve for x
    x = 391,768.78/792.34
  6. Step 6: Final answer
    x = 494.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.