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Finding the Fourth Proportional to 976.15, 1,464.42 and 513.64

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Solution

The fourth proportional to 976.15, 1,464.42 and 513.64 is: 770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.15 : 1,464.42 = 513.64 : x
  2. Step 2: Convert to fraction form
    976.15/1,464.42 = 513.64/x
  3. Step 3: Cross multiply
    976.15x = 1,464.42 × 513.64
  4. Step 4: Simplify right side
    976.15x = 752,184.69
  5. Step 5: Solve for x
    x = 752,184.69/976.15
  6. Step 6: Final answer
    x = 770.56

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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.