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Finding the Fourth Proportional to 792.76, 1,189.02 and 305.74

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Solution

The fourth proportional to 792.76, 1,189.02 and 305.74 is: 458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.76 : 1,189.02 = 305.74 : x
  2. Step 2: Convert to fraction form
    792.76/1,189.02 = 305.74/x
  3. Step 3: Cross multiply
    792.76x = 1,189.02 × 305.74
  4. Step 4: Simplify right side
    792.76x = 363,530.97
  5. Step 5: Solve for x
    x = 363,530.97/792.76
  6. Step 6: Final answer
    x = 458.56

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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.