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Finding the Fourth Proportional to 850.16, 1,275.60 and 773.24

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Solution

The fourth proportional to 850.16, 1,275.60 and 773.24 is: 1,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.16 : 1,275.60 = 773.24 : x
  2. Step 2: Convert to fraction form
    850.16/1,275.60 = 773.24/x
  3. Step 3: Cross multiply
    850.16x = 1,275.60 × 773.24
  4. Step 4: Simplify right side
    850.16x = 986,344.94
  5. Step 5: Solve for x
    x = 986,344.94/850.16
  6. Step 6: Final answer
    x = 1,160.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.