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Finding the Fourth Proportional to 850.71, 1,171.26 and 663.96

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Solution

The fourth proportional to 850.71, 1,171.26 and 663.96 is: 914.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.71 : 1,171.26 = 663.96 : x
  2. Step 2: Convert to fraction form
    850.71/1,171.26 = 663.96/x
  3. Step 3: Cross multiply
    850.71x = 1,171.26 × 663.96
  4. Step 4: Simplify right side
    850.71x = 777,669.79
  5. Step 5: Solve for x
    x = 777,669.79/850.71
  6. Step 6: Final answer
    x = 914.14

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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.