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Finding the Fourth Proportional to 686.89, 1,030.67 and 321.62

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Solution

The fourth proportional to 686.89, 1,030.67 and 321.62 is: 482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.89 : 1,030.67 = 321.62 : x
  2. Step 2: Convert to fraction form
    686.89/1,030.67 = 321.62/x
  3. Step 3: Cross multiply
    686.89x = 1,030.67 × 321.62
  4. Step 4: Simplify right side
    686.89x = 331,479.74
  5. Step 5: Solve for x
    x = 331,479.74/686.89
  6. Step 6: Final answer
    x = 482.58

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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.