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Finding the Fourth Proportional to 792.72, 1,189.14 and 305.76

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Solution

The fourth proportional to 792.72, 1,189.14 and 305.76 is: 458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.72 : 1,189.14 = 305.76 : x
  2. Step 2: Convert to fraction form
    792.72/1,189.14 = 305.76/x
  3. Step 3: Cross multiply
    792.72x = 1,189.14 × 305.76
  4. Step 4: Simplify right side
    792.72x = 363,591.45
  5. Step 5: Solve for x
    x = 363,591.45/792.72
  6. Step 6: Final answer
    x = 458.66

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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.