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Finding the Fourth Proportional to 657.89, 984.94 and 513.17

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Solution

The fourth proportional to 657.89, 984.94 and 513.17 is: 768.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.89 : 984.94 = 513.17 : x
  2. Step 2: Convert to fraction form
    657.89/984.94 = 513.17/x
  3. Step 3: Cross multiply
    657.89x = 984.94 × 513.17
  4. Step 4: Simplify right side
    657.89x = 505,441.66
  5. Step 5: Solve for x
    x = 505,441.66/657.89
  6. Step 6: Final answer
    x = 768.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.