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Finding the Fourth Proportional to 657.09, 983.34 and 519.39

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Solution

The fourth proportional to 657.09, 983.34 and 519.39 is: 777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.09 : 983.34 = 519.39 : x
  2. Step 2: Convert to fraction form
    657.09/983.34 = 519.39/x
  3. Step 3: Cross multiply
    657.09x = 983.34 × 519.39
  4. Step 4: Simplify right side
    657.09x = 510,736.96
  5. Step 5: Solve for x
    x = 510,736.96/657.09
  6. Step 6: Final answer
    x = 777.27

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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.