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Finding the Fourth Proportional to 980.69, 1,471.32 and 669.60

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Solution

The fourth proportional to 980.69, 1,471.32 and 669.60 is: 1,004.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.69 : 1,471.32 = 669.60 : x
  2. Step 2: Convert to fraction form
    980.69/1,471.32 = 669.60/x
  3. Step 3: Cross multiply
    980.69x = 1,471.32 × 669.60
  4. Step 4: Simplify right side
    980.69x = 985,195.87
  5. Step 5: Solve for x
    x = 985,195.87/980.69
  6. Step 6: Final answer
    x = 1,004.60

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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.