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Finding the Fourth Proportional to 654.99, 982.89 and 481.23

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Solution

The fourth proportional to 654.99, 982.89 and 481.23 is: 722.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.99 : 982.89 = 481.23 : x
  2. Step 2: Convert to fraction form
    654.99/982.89 = 481.23/x
  3. Step 3: Cross multiply
    654.99x = 982.89 × 481.23
  4. Step 4: Simplify right side
    654.99x = 472,996.15
  5. Step 5: Solve for x
    x = 472,996.15/654.99
  6. Step 6: Final answer
    x = 722.14

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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.