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Finding the Fourth Proportional to 976.20, 1,464.20 and 513.80

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Solution

The fourth proportional to 976.20, 1,464.20 and 513.80 is: 770.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.20 : 1,464.20 = 513.80 : x
  2. Step 2: Convert to fraction form
    976.20/1,464.20 = 513.80/x
  3. Step 3: Cross multiply
    976.20x = 1,464.20 × 513.80
  4. Step 4: Simplify right side
    976.20x = 752,296.07
  5. Step 5: Solve for x
    x = 752,296.07/976.20
  6. Step 6: Final answer
    x = 770.64

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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.