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Finding the Fourth Proportional to 644.33, 964.95 and 628.83

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Solution

The fourth proportional to 644.33, 964.95 and 628.83 is: 941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.33 : 964.95 = 628.83 : x
  2. Step 2: Convert to fraction form
    644.33/964.95 = 628.83/x
  3. Step 3: Cross multiply
    644.33x = 964.95 × 628.83
  4. Step 4: Simplify right side
    644.33x = 606,789.51
  5. Step 5: Solve for x
    x = 606,789.51/644.33
  6. Step 6: Final answer
    x = 941.74

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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.