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Finding the Fourth Proportional to 792.79, 1,189.22 and 353.96

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Solution

The fourth proportional to 792.79, 1,189.22 and 353.96 is: 530.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.79 : 1,189.22 = 353.96 : x
  2. Step 2: Convert to fraction form
    792.79/1,189.22 = 353.96/x
  3. Step 3: Cross multiply
    792.79x = 1,189.22 × 353.96
  4. Step 4: Simplify right side
    792.79x = 420,936.31
  5. Step 5: Solve for x
    x = 420,936.31/792.79
  6. Step 6: Final answer
    x = 530.96

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Why These Related Problems?

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