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Finding the Fourth Proportional to 655.75, 984.23 and 610.49

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Solution

The fourth proportional to 655.75, 984.23 and 610.49 is: 916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.75 : 984.23 = 610.49 : x
  2. Step 2: Convert to fraction form
    655.75/984.23 = 610.49/x
  3. Step 3: Cross multiply
    655.75x = 984.23 × 610.49
  4. Step 4: Simplify right side
    655.75x = 600,862.57
  5. Step 5: Solve for x
    x = 600,862.57/655.75
  6. Step 6: Final answer
    x = 916.30

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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.