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Finding the Fourth Proportional to 683.66, 942.30 and 517.82

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Solution

The fourth proportional to 683.66, 942.30 and 517.82 is: 713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.66 : 942.30 = 517.82 : x
  2. Step 2: Convert to fraction form
    683.66/942.30 = 517.82/x
  3. Step 3: Cross multiply
    683.66x = 942.30 × 517.82
  4. Step 4: Simplify right side
    683.66x = 487,937.07
  5. Step 5: Solve for x
    x = 487,937.07/683.66
  6. Step 6: Final answer
    x = 713.71

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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.