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Finding the Fourth Proportional to 792.81, 1,189.67 and 306.27

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Solution

The fourth proportional to 792.81, 1,189.67 and 306.27 is: 459.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.81 : 1,189.67 = 306.27 : x
  2. Step 2: Convert to fraction form
    792.81/1,189.67 = 306.27/x
  3. Step 3: Cross multiply
    792.81x = 1,189.67 × 306.27
  4. Step 4: Simplify right side
    792.81x = 364,358.70
  5. Step 5: Solve for x
    x = 364,358.70/792.81
  6. Step 6: Final answer
    x = 459.58

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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.