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Finding the Fourth Proportional to 850.05, 1,173.08 and 496.22

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Solution

The fourth proportional to 850.05, 1,173.08 and 496.22 is: 684.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.05 : 1,173.08 = 496.22 : x
  2. Step 2: Convert to fraction form
    850.05/1,173.08 = 496.22/x
  3. Step 3: Cross multiply
    850.05x = 1,173.08 × 496.22
  4. Step 4: Simplify right side
    850.05x = 582,103.28
  5. Step 5: Solve for x
    x = 582,103.28/850.05
  6. Step 6: Final answer
    x = 684.79

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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.