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Finding the Fourth Proportional to 792.86, 1,189.30 and 279.74

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Solution

The fourth proportional to 792.86, 1,189.30 and 279.74 is: 419.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.86 : 1,189.30 = 279.74 : x
  2. Step 2: Convert to fraction form
    792.86/1,189.30 = 279.74/x
  3. Step 3: Cross multiply
    792.86x = 1,189.30 × 279.74
  4. Step 4: Simplify right side
    792.86x = 332,694.78
  5. Step 5: Solve for x
    x = 332,694.78/792.86
  6. Step 6: Final answer
    x = 419.61

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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.