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Finding the Fourth Proportional to 976.73, 1,464.44 and 514.02

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Solution

The fourth proportional to 976.73, 1,464.44 and 514.02 is: 770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.73 : 1,464.44 = 514.02 : x
  2. Step 2: Convert to fraction form
    976.73/1,464.44 = 514.02/x
  3. Step 3: Cross multiply
    976.73x = 1,464.44 × 514.02
  4. Step 4: Simplify right side
    976.73x = 752,743.39
  5. Step 5: Solve for x
    x = 752,743.39/976.73
  6. Step 6: Final answer
    x = 770.68

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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.