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Finding the Fourth Proportional to 644.85, 969.42 and 523.96

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Solution

The fourth proportional to 644.85, 969.42 and 523.96 is: 787.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.85 : 969.42 = 523.96 : x
  2. Step 2: Convert to fraction form
    644.85/969.42 = 523.96/x
  3. Step 3: Cross multiply
    644.85x = 969.42 × 523.96
  4. Step 4: Simplify right side
    644.85x = 507,937.30
  5. Step 5: Solve for x
    x = 507,937.30/644.85
  6. Step 6: Final answer
    x = 787.68

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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.