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Finding the Fourth Proportional to 686.27, 1,029.40 and 173.27

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Solution

The fourth proportional to 686.27, 1,029.40 and 173.27 is: 259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.27 : 1,029.40 = 173.27 : x
  2. Step 2: Convert to fraction form
    686.27/1,029.40 = 173.27/x
  3. Step 3: Cross multiply
    686.27x = 1,029.40 × 173.27
  4. Step 4: Simplify right side
    686.27x = 178,364.14
  5. Step 5: Solve for x
    x = 178,364.14/686.27
  6. Step 6: Final answer
    x = 259.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.