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Finding the Fourth Proportional to 792.42, 1,188.78 and 381.84

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Solution

The fourth proportional to 792.42, 1,188.78 and 381.84 is: 572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.42 : 1,188.78 = 381.84 : x
  2. Step 2: Convert to fraction form
    792.42/1,188.78 = 381.84/x
  3. Step 3: Cross multiply
    792.42x = 1,188.78 × 381.84
  4. Step 4: Simplify right side
    792.42x = 453,923.76
  5. Step 5: Solve for x
    x = 453,923.76/792.42
  6. Step 6: Final answer
    x = 572.83

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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.