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Finding the Fourth Proportional to 980.07, 1,469.58 and 516.75

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Solution

The fourth proportional to 980.07, 1,469.58 and 516.75 is: 774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.07 : 1,469.58 = 516.75 : x
  2. Step 2: Convert to fraction form
    980.07/1,469.58 = 516.75/x
  3. Step 3: Cross multiply
    980.07x = 1,469.58 × 516.75
  4. Step 4: Simplify right side
    980.07x = 759,405.47
  5. Step 5: Solve for x
    x = 759,405.47/980.07
  6. Step 6: Final answer
    x = 774.85

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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.