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Finding the Fourth Proportional to 644.10, 964.80 and 522.60

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Solution

The fourth proportional to 644.10, 964.80 and 522.60 is: 782.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.10 : 964.80 = 522.60 : x
  2. Step 2: Convert to fraction form
    644.10/964.80 = 522.60/x
  3. Step 3: Cross multiply
    644.10x = 964.80 × 522.60
  4. Step 4: Simplify right side
    644.10x = 504,204.48
  5. Step 5: Solve for x
    x = 504,204.48/644.10
  6. Step 6: Final answer
    x = 782.80

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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.