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Finding the Fourth Proportional to 850.22, 1,173.26 and 496.15

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Solution

The fourth proportional to 850.22, 1,173.26 and 496.15 is: 684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.22 : 1,173.26 = 496.15 : x
  2. Step 2: Convert to fraction form
    850.22/1,173.26 = 496.15/x
  3. Step 3: Cross multiply
    850.22x = 1,173.26 × 496.15
  4. Step 4: Simplify right side
    850.22x = 582,112.95
  5. Step 5: Solve for x
    x = 582,112.95/850.22
  6. Step 6: Final answer
    x = 684.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.