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Finding the Fourth Proportional to 644.17, 967.35 and 612.25

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Solution

The fourth proportional to 644.17, 967.35 and 612.25 is: 919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.17 : 967.35 = 612.25 : x
  2. Step 2: Convert to fraction form
    644.17/967.35 = 612.25/x
  3. Step 3: Cross multiply
    644.17x = 967.35 × 612.25
  4. Step 4: Simplify right side
    644.17x = 592,260.04
  5. Step 5: Solve for x
    x = 592,260.04/644.17
  6. Step 6: Final answer
    x = 919.42

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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.