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Finding the Fourth Proportional to 850.74, 1,173.96 and 496.56

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Solution

The fourth proportional to 850.74, 1,173.96 and 496.56 is: 685.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.74 : 1,173.96 = 496.56 : x
  2. Step 2: Convert to fraction form
    850.74/1,173.96 = 496.56/x
  3. Step 3: Cross multiply
    850.74x = 1,173.96 × 496.56
  4. Step 4: Simplify right side
    850.74x = 582,941.58
  5. Step 5: Solve for x
    x = 582,941.58/850.74
  6. Step 6: Final answer
    x = 685.22

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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.