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Finding the Fourth Proportional to 980.29, 1,352.87 and 685.45

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Solution

The fourth proportional to 980.29, 1,352.87 and 685.45 is: 945.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.29 : 1,352.87 = 685.45 : x
  2. Step 2: Convert to fraction form
    980.29/1,352.87 = 685.45/x
  3. Step 3: Cross multiply
    980.29x = 1,352.87 × 685.45
  4. Step 4: Simplify right side
    980.29x = 927,324.74
  5. Step 5: Solve for x
    x = 927,324.74/980.29
  6. Step 6: Final answer
    x = 945.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.