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Finding the Fourth Proportional to 792.93, 1,094.23 and 461.37

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Solution

The fourth proportional to 792.93, 1,094.23 and 461.37 is: 636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.93 : 1,094.23 = 461.37 : x
  2. Step 2: Convert to fraction form
    792.93/1,094.23 = 461.37/x
  3. Step 3: Cross multiply
    792.93x = 1,094.23 × 461.37
  4. Step 4: Simplify right side
    792.93x = 504,844.90
  5. Step 5: Solve for x
    x = 504,844.90/792.93
  6. Step 6: Final answer
    x = 636.68

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1.5x scale

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.