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Finding the Fourth Proportional to 980.52, 1,470.96 and 799.52

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Solution

The fourth proportional to 980.52, 1,470.96 and 799.52 is: 1,199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.52 : 1,470.96 = 799.52 : x
  2. Step 2: Convert to fraction form
    980.52/1,470.96 = 799.52/x
  3. Step 3: Cross multiply
    980.52x = 1,470.96 × 799.52
  4. Step 4: Simplify right side
    980.52x = 1,176,061.94
  5. Step 5: Solve for x
    x = 1,176,061.94/980.52
  6. Step 6: Final answer
    x = 1,199.43

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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.