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Finding the Fourth Proportional to 642.90, 962.91 and 629.22

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Solution

The fourth proportional to 642.90, 962.91 and 629.22 is: 942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.90 : 962.91 = 629.22 : x
  2. Step 2: Convert to fraction form
    642.90/962.91 = 629.22/x
  3. Step 3: Cross multiply
    642.90x = 962.91 × 629.22
  4. Step 4: Simplify right side
    642.90x = 605,882.23
  5. Step 5: Solve for x
    x = 605,882.23/642.90
  6. Step 6: Final answer
    x = 942.42

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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.