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Finding the Fourth Proportional to 980.02, 1,352.44 and 537.94

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Solution

The fourth proportional to 980.02, 1,352.44 and 537.94 is: 742.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.02 : 1,352.44 = 537.94 : x
  2. Step 2: Convert to fraction form
    980.02/1,352.44 = 537.94/x
  3. Step 3: Cross multiply
    980.02x = 1,352.44 × 537.94
  4. Step 4: Simplify right side
    980.02x = 727,531.57
  5. Step 5: Solve for x
    x = 727,531.57/980.02
  6. Step 6: Final answer
    x = 742.36

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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.