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Finding the Fourth Proportional to 792.34, 1,093.53 and 481.66

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Solution

The fourth proportional to 792.34, 1,093.53 and 481.66 is: 664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.34 : 1,093.53 = 481.66 : x
  2. Step 2: Convert to fraction form
    792.34/1,093.53 = 481.66/x
  3. Step 3: Cross multiply
    792.34x = 1,093.53 × 481.66
  4. Step 4: Simplify right side
    792.34x = 526,709.66
  5. Step 5: Solve for x
    x = 526,709.66/792.34
  6. Step 6: Final answer
    x = 664.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.