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Finding the Fourth Proportional to 976, 1,464.96 and 520.96

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Solution

The fourth proportional to 976, 1,464.96 and 520.96 is: 781.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    976 : 1,464.96 = 520.96 : x
  2. Step 2: Convert to fraction form
    976/1,464.96 = 520.96/x
  3. Step 3: Cross multiply
    976x = 1,464.96 × 520.96
  4. Step 4: Simplify right side
    976x = 763,185.56
  5. Step 5: Solve for x
    x = 763,185.56/976
  6. Step 6: Final answer
    x = 781.95

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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.