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Finding the Fourth Proportional to 792.95, 1,094.27 and 461.39

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Solution

The fourth proportional to 792.95, 1,094.27 and 461.39 is: 636.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.95 : 1,094.27 = 461.39 : x
  2. Step 2: Convert to fraction form
    792.95/1,094.27 = 461.39/x
  3. Step 3: Cross multiply
    792.95x = 1,094.27 × 461.39
  4. Step 4: Simplify right side
    792.95x = 504,877.46
  5. Step 5: Solve for x
    x = 504,877.46/792.95
  6. Step 6: Final answer
    x = 636.71

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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.