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Finding the Fourth Proportional to 792.82, 1,094.12 and 461.35

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Solution

The fourth proportional to 792.82, 1,094.12 and 461.35 is: 636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.82 : 1,094.12 = 461.35 : x
  2. Step 2: Convert to fraction form
    792.82/1,094.12 = 461.35/x
  3. Step 3: Cross multiply
    792.82x = 1,094.12 × 461.35
  4. Step 4: Simplify right side
    792.82x = 504,775.65
  5. Step 5: Solve for x
    x = 504,775.65/792.82
  6. Step 6: Final answer
    x = 636.68

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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.