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Finding the Fourth Proportional to 792.06, 1,187.80 and 329.75

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Solution

The fourth proportional to 792.06, 1,187.80 and 329.75 is: 494.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.06 : 1,187.80 = 329.75 : x
  2. Step 2: Convert to fraction form
    792.06/1,187.80 = 329.75/x
  3. Step 3: Cross multiply
    792.06x = 1,187.80 × 329.75
  4. Step 4: Simplify right side
    792.06x = 391,677.05
  5. Step 5: Solve for x
    x = 391,677.05/792.06
  6. Step 6: Final answer
    x = 494.50

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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.