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Finding the Fourth Proportional to 644.21, 964.49 and 614.24

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Solution

The fourth proportional to 644.21, 964.49 and 614.24 is: 919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.21 : 964.49 = 614.24 : x
  2. Step 2: Convert to fraction form
    644.21/964.49 = 614.24/x
  3. Step 3: Cross multiply
    644.21x = 964.49 × 614.24
  4. Step 4: Simplify right side
    644.21x = 592,428.34
  5. Step 5: Solve for x
    x = 592,428.34/644.21
  6. Step 6: Final answer
    x = 919.62

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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.