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Finding the Fourth Proportional to 644.91, 965.93 and 461.75

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Solution

The fourth proportional to 644.91, 965.93 and 461.75 is: 691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.91 : 965.93 = 461.75 : x
  2. Step 2: Convert to fraction form
    644.91/965.93 = 461.75/x
  3. Step 3: Cross multiply
    644.91x = 965.93 × 461.75
  4. Step 4: Simplify right side
    644.91x = 446,016.47
  5. Step 5: Solve for x
    x = 446,016.47/644.91
  6. Step 6: Final answer
    x = 691.59

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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.