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Finding the Fourth Proportional to 980.20, 1,352.70 and 538.16

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Solution

The fourth proportional to 980.20, 1,352.70 and 538.16 is: 742.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.20 : 1,352.70 = 538.16 : x
  2. Step 2: Convert to fraction form
    980.20/1,352.70 = 538.16/x
  3. Step 3: Cross multiply
    980.20x = 1,352.70 × 538.16
  4. Step 4: Simplify right side
    980.20x = 727,969.03
  5. Step 5: Solve for x
    x = 727,969.03/980.20
  6. Step 6: Final answer
    x = 742.67

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Why These Related Problems?

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