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Finding the Fourth Proportional to 980.23, 1,352.71 and 538.16

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Solution

The fourth proportional to 980.23, 1,352.71 and 538.16 is: 742.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.23 : 1,352.71 = 538.16 : x
  2. Step 2: Convert to fraction form
    980.23/1,352.71 = 538.16/x
  3. Step 3: Cross multiply
    980.23x = 1,352.71 × 538.16
  4. Step 4: Simplify right side
    980.23x = 727,970.98
  5. Step 5: Solve for x
    x = 727,970.98/980.23
  6. Step 6: Final answer
    x = 742.66

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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.