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Finding the Fourth Proportional to 792.83, 1,094.10 and 461.45

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Solution

The fourth proportional to 792.83, 1,094.10 and 461.45 is: 636.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.83 : 1,094.10 = 461.45 : x
  2. Step 2: Convert to fraction form
    792.83/1,094.10 = 461.45/x
  3. Step 3: Cross multiply
    792.83x = 1,094.10 × 461.45
  4. Step 4: Simplify right side
    792.83x = 504,872.45
  5. Step 5: Solve for x
    x = 504,872.45/792.83
  6. Step 6: Final answer
    x = 636.80

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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.