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Finding the Fourth Proportional to 792.68, 1,189.22 and 305.60

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Solution

The fourth proportional to 792.68, 1,189.22 and 305.60 is: 458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.68 : 1,189.22 = 305.60 : x
  2. Step 2: Convert to fraction form
    792.68/1,189.22 = 305.60/x
  3. Step 3: Cross multiply
    792.68x = 1,189.22 × 305.60
  4. Step 4: Simplify right side
    792.68x = 363,419.88
  5. Step 5: Solve for x
    x = 363,419.88/792.68
  6. Step 6: Final answer
    x = 458.47

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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.