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Finding the Fourth Proportional to 644.08, 964.88 and 514.32

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Solution

The fourth proportional to 644.08, 964.88 and 514.32 is: 770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.08 : 964.88 = 514.32 : x
  2. Step 2: Convert to fraction form
    644.08/964.88 = 514.32/x
  3. Step 3: Cross multiply
    644.08x = 964.88 × 514.32
  4. Step 4: Simplify right side
    644.08x = 496,257.08
  5. Step 5: Solve for x
    x = 496,257.08/644.08
  6. Step 6: Final answer
    x = 770.49

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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.