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Finding the Fourth Proportional to 686.67, 945.45 and 546.33

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Solution

The fourth proportional to 686.67, 945.45 and 546.33 is: 752.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.67 : 945.45 = 546.33 : x
  2. Step 2: Convert to fraction form
    686.67/945.45 = 546.33/x
  3. Step 3: Cross multiply
    686.67x = 945.45 × 546.33
  4. Step 4: Simplify right side
    686.67x = 516,527.70
  5. Step 5: Solve for x
    x = 516,527.70/686.67
  6. Step 6: Final answer
    x = 752.22

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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.