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Finding the Fourth Proportional to 644.79, 964.89 and 522.75

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Solution

The fourth proportional to 644.79, 964.89 and 522.75 is: 782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.79 : 964.89 = 522.75 : x
  2. Step 2: Convert to fraction form
    644.79/964.89 = 522.75/x
  3. Step 3: Cross multiply
    644.79x = 964.89 × 522.75
  4. Step 4: Simplify right side
    644.79x = 504,396.25
  5. Step 5: Solve for x
    x = 504,396.25/644.79
  6. Step 6: Final answer
    x = 782.26

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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.