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Finding the Fourth Proportional to 792.63, 1,189.86 and 359.79

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Solution

The fourth proportional to 792.63, 1,189.86 and 359.79 is: 540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.63 : 1,189.86 = 359.79 : x
  2. Step 2: Convert to fraction form
    792.63/1,189.86 = 359.79/x
  3. Step 3: Cross multiply
    792.63x = 1,189.86 × 359.79
  4. Step 4: Simplify right side
    792.63x = 428,091.98
  5. Step 5: Solve for x
    x = 428,091.98/792.63
  6. Step 6: Final answer
    x = 540.09

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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.