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Finding the Fourth Proportional to 686.17, 1,028.35 and 412.34

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Solution

The fourth proportional to 686.17, 1,028.35 and 412.34 is: 617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.17 : 1,028.35 = 412.34 : x
  2. Step 2: Convert to fraction form
    686.17/1,028.35 = 412.34/x
  3. Step 3: Cross multiply
    686.17x = 1,028.35 × 412.34
  4. Step 4: Simplify right side
    686.17x = 424,028.68
  5. Step 5: Solve for x
    x = 424,028.68/686.17
  6. Step 6: Final answer
    x = 617.96

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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.