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Finding the Fourth Proportional to 850.96, 1,274.62 and 830.31

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Solution

The fourth proportional to 850.96, 1,274.62 and 830.31 is: 1,243.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.96 : 1,274.62 = 830.31 : x
  2. Step 2: Convert to fraction form
    850.96/1,274.62 = 830.31/x
  3. Step 3: Cross multiply
    850.96x = 1,274.62 × 830.31
  4. Step 4: Simplify right side
    850.96x = 1,058,329.73
  5. Step 5: Solve for x
    x = 1,058,329.73/850.96
  6. Step 6: Final answer
    x = 1,243.69

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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.