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Finding the Fourth Proportional to 976.16, 1,463.72 and 513.86

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Solution

The fourth proportional to 976.16, 1,463.72 and 513.86 is: 770.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.16 : 1,463.72 = 513.86 : x
  2. Step 2: Convert to fraction form
    976.16/1,463.72 = 513.86/x
  3. Step 3: Cross multiply
    976.16x = 1,463.72 × 513.86
  4. Step 4: Simplify right side
    976.16x = 752,147.16
  5. Step 5: Solve for x
    x = 752,147.16/976.16
  6. Step 6: Final answer
    x = 770.52

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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.