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Finding the Fourth Proportional to 792.75, 1,093.95 and 461.13

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Solution

The fourth proportional to 792.75, 1,093.95 and 461.13 is: 636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.75 : 1,093.95 = 461.13 : x
  2. Step 2: Convert to fraction form
    792.75/1,093.95 = 461.13/x
  3. Step 3: Cross multiply
    792.75x = 1,093.95 × 461.13
  4. Step 4: Simplify right side
    792.75x = 504,453.16
  5. Step 5: Solve for x
    x = 504,453.16/792.75
  6. Step 6: Final answer
    x = 636.33

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Double scale
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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.