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Finding the Fourth Proportional to 717.21, 1,067.66 and 683.66

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Solution

The fourth proportional to 717.21, 1,067.66 and 683.66 is: 1,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.21 : 1,067.66 = 683.66 : x
  2. Step 2: Convert to fraction form
    717.21/1,067.66 = 683.66/x
  3. Step 3: Cross multiply
    717.21x = 1,067.66 × 683.66
  4. Step 4: Simplify right side
    717.21x = 729,916.44
  5. Step 5: Solve for x
    x = 729,916.44/717.21
  6. Step 6: Final answer
    x = 1,017.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.