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Finding the Fourth Proportional to 643.46, 965.69 and 461.02

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Solution

The fourth proportional to 643.46, 965.69 and 461.02 is: 691.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.46 : 965.69 = 461.02 : x
  2. Step 2: Convert to fraction form
    643.46/965.69 = 461.02/x
  3. Step 3: Cross multiply
    643.46x = 965.69 × 461.02
  4. Step 4: Simplify right side
    643.46x = 445,202.40
  5. Step 5: Solve for x
    x = 445,202.40/643.46
  6. Step 6: Final answer
    x = 691.89

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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.