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Finding the Fourth Proportional to 683.34, 943.05 and 517.29

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Solution

The fourth proportional to 683.34, 943.05 and 517.29 is: 713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.34 : 943.05 = 517.29 : x
  2. Step 2: Convert to fraction form
    683.34/943.05 = 517.29/x
  3. Step 3: Cross multiply
    683.34x = 943.05 × 517.29
  4. Step 4: Simplify right side
    683.34x = 487,830.33
  5. Step 5: Solve for x
    x = 487,830.33/683.34
  6. Step 6: Final answer
    x = 713.89

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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.