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Finding the Fourth Proportional to 980.61, 1,352.36 and 649.37

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Solution

The fourth proportional to 980.61, 1,352.36 and 649.37 is: 895.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.61 : 1,352.36 = 649.37 : x
  2. Step 2: Convert to fraction form
    980.61/1,352.36 = 649.37/x
  3. Step 3: Cross multiply
    980.61x = 1,352.36 × 649.37
  4. Step 4: Simplify right side
    980.61x = 878,172.00
  5. Step 5: Solve for x
    x = 878,172.00/980.61
  6. Step 6: Final answer
    x = 895.54

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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.