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Finding the Fourth Proportional to 792.92, 1,188.71 and 306.32

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Solution

The fourth proportional to 792.92, 1,188.71 and 306.32 is: 459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.92 : 1,188.71 = 306.32 : x
  2. Step 2: Convert to fraction form
    792.92/1,188.71 = 306.32/x
  3. Step 3: Cross multiply
    792.92x = 1,188.71 × 306.32
  4. Step 4: Simplify right side
    792.92x = 364,119.32
  5. Step 5: Solve for x
    x = 364,119.32/792.92
  6. Step 6: Final answer
    x = 459.21

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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.