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Finding the Fourth Proportional to 974.26, 1,344.88 and 694.54

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Solution

The fourth proportional to 974.26, 1,344.88 and 694.54 is: 958.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.26 : 1,344.88 = 694.54 : x
  2. Step 2: Convert to fraction form
    974.26/1,344.88 = 694.54/x
  3. Step 3: Cross multiply
    974.26x = 1,344.88 × 694.54
  4. Step 4: Simplify right side
    974.26x = 934,072.96
  5. Step 5: Solve for x
    x = 934,072.96/974.26
  6. Step 6: Final answer
    x = 958.75

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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.