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Finding the Fourth Proportional to 792.94, 1,094.16 and 461.32

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Solution

The fourth proportional to 792.94, 1,094.16 and 461.32 is: 636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.94 : 1,094.16 = 461.32 : x
  2. Step 2: Convert to fraction form
    792.94/1,094.16 = 461.32/x
  3. Step 3: Cross multiply
    792.94x = 1,094.16 × 461.32
  4. Step 4: Simplify right side
    792.94x = 504,757.89
  5. Step 5: Solve for x
    x = 504,757.89/792.94
  6. Step 6: Final answer
    x = 636.57

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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.