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Finding the Fourth Proportional to 792.93, 1,094.36 and 461.39

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Solution

The fourth proportional to 792.93, 1,094.36 and 461.39 is: 636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.93 : 1,094.36 = 461.39 : x
  2. Step 2: Convert to fraction form
    792.93/1,094.36 = 461.39/x
  3. Step 3: Cross multiply
    792.93x = 1,094.36 × 461.39
  4. Step 4: Simplify right side
    792.93x = 504,918.98
  5. Step 5: Solve for x
    x = 504,918.98/792.93
  6. Step 6: Final answer
    x = 636.77

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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.