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Finding the Fourth Proportional to 694.78, 958.53 and 517.43

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Solution

The fourth proportional to 694.78, 958.53 and 517.43 is: 713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.78 : 958.53 = 517.43 : x
  2. Step 2: Convert to fraction form
    694.78/958.53 = 517.43/x
  3. Step 3: Cross multiply
    694.78x = 958.53 × 517.43
  4. Step 4: Simplify right side
    694.78x = 495,974.57
  5. Step 5: Solve for x
    x = 495,974.57/694.78
  6. Step 6: Final answer
    x = 713.86

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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.