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Finding the Fourth Proportional to 980.20, 1,352.04 and 626.23

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Solution

The fourth proportional to 980.20, 1,352.04 and 626.23 is: 863.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.20 : 1,352.04 = 626.23 : x
  2. Step 2: Convert to fraction form
    980.20/1,352.04 = 626.23/x
  3. Step 3: Cross multiply
    980.20x = 1,352.04 × 626.23
  4. Step 4: Simplify right side
    980.20x = 846,690.87
  5. Step 5: Solve for x
    x = 846,690.87/980.20
  6. Step 6: Final answer
    x = 863.79

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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.