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Finding the Fourth Proportional to 683.40, 941.84 and 516.72

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Solution

The fourth proportional to 683.40, 941.84 and 516.72 is: 712.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.40 : 941.84 = 516.72 : x
  2. Step 2: Convert to fraction form
    683.40/941.84 = 516.72/x
  3. Step 3: Cross multiply
    683.40x = 941.84 × 516.72
  4. Step 4: Simplify right side
    683.40x = 486,667.56
  5. Step 5: Solve for x
    x = 486,667.56/683.40
  6. Step 6: Final answer
    x = 712.13

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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.