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Finding the Fourth Proportional to 980.06, 1,470.36 and 872.60

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Solution

The fourth proportional to 980.06, 1,470.36 and 872.60 is: 1,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.06 : 1,470.36 = 872.60 : x
  2. Step 2: Convert to fraction form
    980.06/1,470.36 = 872.60/x
  3. Step 3: Cross multiply
    980.06x = 1,470.36 × 872.60
  4. Step 4: Simplify right side
    980.06x = 1,283,036.14
  5. Step 5: Solve for x
    x = 1,283,036.14/980.06
  6. Step 6: Final answer
    x = 1,309.14

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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.