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Finding the Fourth Proportional to 686.96, 1,030.43 and 321.49

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Solution

The fourth proportional to 686.96, 1,030.43 and 321.49 is: 482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.96 : 1,030.43 = 321.49 : x
  2. Step 2: Convert to fraction form
    686.96/1,030.43 = 321.49/x
  3. Step 3: Cross multiply
    686.96x = 1,030.43 × 321.49
  4. Step 4: Simplify right side
    686.96x = 331,275.03
  5. Step 5: Solve for x
    x = 331,275.03/686.96
  6. Step 6: Final answer
    x = 482.23

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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.