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Finding the Fourth Proportional to 1,149.96, 1,716.60 and 984.72

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Solution

The fourth proportional to 1,149.96, 1,716.60 and 984.72 is: 1,469.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.96 : 1,716.60 = 984.72 : x
  2. Step 2: Convert to fraction form
    1,149.96/1,716.60 = 984.72/x
  3. Step 3: Cross multiply
    1,149.96x = 1,716.60 × 984.72
  4. Step 4: Simplify right side
    1,149.96x = 1,690,370.35
  5. Step 5: Solve for x
    x = 1,690,370.35/1,149.96
  6. Step 6: Final answer
    x = 1,469.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.