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Finding the Fourth Proportional to 792.32, 1,188.45 and 422.96

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Solution

The fourth proportional to 792.32, 1,188.45 and 422.96 is: 634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.32 : 1,188.45 = 422.96 : x
  2. Step 2: Convert to fraction form
    792.32/1,188.45 = 422.96/x
  3. Step 3: Cross multiply
    792.32x = 1,188.45 × 422.96
  4. Step 4: Simplify right side
    792.32x = 502,660.87
  5. Step 5: Solve for x
    x = 502,660.87/792.32
  6. Step 6: Final answer
    x = 634.42

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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.