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Finding the Fourth Proportional to 686.78, 1,029.70 and 321.67

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Solution

The fourth proportional to 686.78, 1,029.70 and 321.67 is: 482.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.78 : 1,029.70 = 321.67 : x
  2. Step 2: Convert to fraction form
    686.78/1,029.70 = 321.67/x
  3. Step 3: Cross multiply
    686.78x = 1,029.70 × 321.67
  4. Step 4: Simplify right side
    686.78x = 331,223.48
  5. Step 5: Solve for x
    x = 331,223.48/686.78
  6. Step 6: Final answer
    x = 482.29

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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.