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Finding the Fourth Proportional to 792.91, 1,189.79 and 376.34

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Solution

The fourth proportional to 792.91, 1,189.79 and 376.34 is: 564.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.91 : 1,189.79 = 376.34 : x
  2. Step 2: Convert to fraction form
    792.91/1,189.79 = 376.34/x
  3. Step 3: Cross multiply
    792.91x = 1,189.79 × 376.34
  4. Step 4: Simplify right side
    792.91x = 447,763.69
  5. Step 5: Solve for x
    x = 447,763.69/792.91
  6. Step 6: Final answer
    x = 564.71

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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.