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Finding the Fourth Proportional to 679.44, 936.60 and 513.84

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Solution

The fourth proportional to 679.44, 936.60 and 513.84 is: 708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.44 : 936.60 = 513.84 : x
  2. Step 2: Convert to fraction form
    679.44/936.60 = 513.84/x
  3. Step 3: Cross multiply
    679.44x = 936.60 × 513.84
  4. Step 4: Simplify right side
    679.44x = 481,262.54
  5. Step 5: Solve for x
    x = 481,262.54/679.44
  6. Step 6: Final answer
    x = 708.32

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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.