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Finding the Fourth Proportional to 980.42, 1,467.99 and 517.23

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Solution

The fourth proportional to 980.42, 1,467.99 and 517.23 is: 774.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.42 : 1,467.99 = 517.23 : x
  2. Step 2: Convert to fraction form
    980.42/1,467.99 = 517.23/x
  3. Step 3: Cross multiply
    980.42x = 1,467.99 × 517.23
  4. Step 4: Simplify right side
    980.42x = 759,288.47
  5. Step 5: Solve for x
    x = 759,288.47/980.42
  6. Step 6: Final answer
    x = 774.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.