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Finding the Fourth Proportional to 792.96, 1,094.24 and 461.44

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Solution

The fourth proportional to 792.96, 1,094.24 and 461.44 is: 636.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.96 : 1,094.24 = 461.44 : x
  2. Step 2: Convert to fraction form
    792.96/1,094.24 = 461.44/x
  3. Step 3: Cross multiply
    792.96x = 1,094.24 × 461.44
  4. Step 4: Simplify right side
    792.96x = 504,926.11
  5. Step 5: Solve for x
    x = 504,926.11/792.96
  6. Step 6: Final answer
    x = 636.76

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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.