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Finding the Fourth Proportional to 850.29, 1,173.40 and 496.45

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Solution

The fourth proportional to 850.29, 1,173.40 and 496.45 is: 685.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.29 : 1,173.40 = 496.45 : x
  2. Step 2: Convert to fraction form
    850.29/1,173.40 = 496.45/x
  3. Step 3: Cross multiply
    850.29x = 1,173.40 × 496.45
  4. Step 4: Simplify right side
    850.29x = 582,534.43
  5. Step 5: Solve for x
    x = 582,534.43/850.29
  6. Step 6: Final answer
    x = 685.10

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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.