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Finding the Fourth Proportional to 980.44, 1,470.66 and 250.03

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Solution

The fourth proportional to 980.44, 1,470.66 and 250.03 is: 375.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.44 : 1,470.66 = 250.03 : x
  2. Step 2: Convert to fraction form
    980.44/1,470.66 = 250.03/x
  3. Step 3: Cross multiply
    980.44x = 1,470.66 × 250.03
  4. Step 4: Simplify right side
    980.44x = 367,709.12
  5. Step 5: Solve for x
    x = 367,709.12/980.44
  6. Step 6: Final answer
    x = 375.05

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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.