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Finding the Fourth Proportional to 654.01, 980.73 and 191.68

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Solution

The fourth proportional to 654.01, 980.73 and 191.68 is: 287.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.01 : 980.73 = 191.68 : x
  2. Step 2: Convert to fraction form
    654.01/980.73 = 191.68/x
  3. Step 3: Cross multiply
    654.01x = 980.73 × 191.68
  4. Step 4: Simplify right side
    654.01x = 187,986.33
  5. Step 5: Solve for x
    x = 187,986.33/654.01
  6. Step 6: Final answer
    x = 287.44

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