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Finding the Fourth Proportional to 792.29, 1,187.48 and 329.49

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Solution

The fourth proportional to 792.29, 1,187.48 and 329.49 is: 493.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.29 : 1,187.48 = 329.49 : x
  2. Step 2: Convert to fraction form
    792.29/1,187.48 = 329.49/x
  3. Step 3: Cross multiply
    792.29x = 1,187.48 × 329.49
  4. Step 4: Simplify right side
    792.29x = 391,261.14
  5. Step 5: Solve for x
    x = 391,261.14/792.29
  6. Step 6: Final answer
    x = 493.84

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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.