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Finding the Fourth Proportional to 792.45, 1,093.77 and 461.07

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Solution

The fourth proportional to 792.45, 1,093.77 and 461.07 is: 636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.45 : 1,093.77 = 461.07 : x
  2. Step 2: Convert to fraction form
    792.45/1,093.77 = 461.07/x
  3. Step 3: Cross multiply
    792.45x = 1,093.77 × 461.07
  4. Step 4: Simplify right side
    792.45x = 504,304.53
  5. Step 5: Solve for x
    x = 504,304.53/792.45
  6. Step 6: Final answer
    x = 636.39

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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.