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Finding the Fourth Proportional to 979.22, 1,469.47 and 654.74

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Solution

The fourth proportional to 979.22, 1,469.47 and 654.74 is: 982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.22 : 1,469.47 = 654.74 : x
  2. Step 2: Convert to fraction form
    979.22/1,469.47 = 654.74/x
  3. Step 3: Cross multiply
    979.22x = 1,469.47 × 654.74
  4. Step 4: Simplify right side
    979.22x = 962,120.79
  5. Step 5: Solve for x
    x = 962,120.79/979.22
  6. Step 6: Final answer
    x = 982.54

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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.