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Finding the Fourth Proportional to 792.67, 1,189.25 and 305.75

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Solution

The fourth proportional to 792.67, 1,189.25 and 305.75 is: 458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.67 : 1,189.25 = 305.75 : x
  2. Step 2: Convert to fraction form
    792.67/1,189.25 = 305.75/x
  3. Step 3: Cross multiply
    792.67x = 1,189.25 × 305.75
  4. Step 4: Simplify right side
    792.67x = 363,611.66
  5. Step 5: Solve for x
    x = 363,611.66/792.67
  6. Step 6: Final answer
    x = 458.72

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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.