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Finding the Fourth Proportional to 654.80, 982.38 and 518.30

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Solution

The fourth proportional to 654.80, 982.38 and 518.30 is: 777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.80 : 982.38 = 518.30 : x
  2. Step 2: Convert to fraction form
    654.80/982.38 = 518.30/x
  3. Step 3: Cross multiply
    654.80x = 982.38 × 518.30
  4. Step 4: Simplify right side
    654.80x = 509,167.55
  5. Step 5: Solve for x
    x = 509,167.55/654.80
  6. Step 6: Final answer
    x = 777.59

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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.