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Finding the Fourth Proportional to 792.40, 1,188.14 and 329.63

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Solution

The fourth proportional to 792.40, 1,188.14 and 329.63 is: 494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.40 : 1,188.14 = 329.63 : x
  2. Step 2: Convert to fraction form
    792.40/1,188.14 = 329.63/x
  3. Step 3: Cross multiply
    792.40x = 1,188.14 × 329.63
  4. Step 4: Simplify right side
    792.40x = 391,645.12
  5. Step 5: Solve for x
    x = 391,645.12/792.40
  6. Step 6: Final answer
    x = 494.25

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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.