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Finding the Fourth Proportional to 686.70, 945.27 and 599.22

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Solution

The fourth proportional to 686.70, 945.27 and 599.22 is: 824.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.70 : 945.27 = 599.22 : x
  2. Step 2: Convert to fraction form
    686.70/945.27 = 599.22/x
  3. Step 3: Cross multiply
    686.70x = 945.27 × 599.22
  4. Step 4: Simplify right side
    686.70x = 566,424.69
  5. Step 5: Solve for x
    x = 566,424.69/686.70
  6. Step 6: Final answer
    x = 824.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.