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Finding the Fourth Proportional to 654.94, 980.79 and 481.20

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Solution

The fourth proportional to 654.94, 980.79 and 481.20 is: 720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.94 : 980.79 = 481.20 : x
  2. Step 2: Convert to fraction form
    654.94/980.79 = 481.20/x
  3. Step 3: Cross multiply
    654.94x = 980.79 × 481.20
  4. Step 4: Simplify right side
    654.94x = 471,956.15
  5. Step 5: Solve for x
    x = 471,956.15/654.94
  6. Step 6: Final answer
    x = 720.61

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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.