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Finding the Fourth Proportional to 610.26, 834.72 and 600.72

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Solution

The fourth proportional to 610.26, 834.72 and 600.72 is: 821.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.26 : 834.72 = 600.72 : x
  2. Step 2: Convert to fraction form
    610.26/834.72 = 600.72/x
  3. Step 3: Cross multiply
    610.26x = 834.72 × 600.72
  4. Step 4: Simplify right side
    610.26x = 501,433.00
  5. Step 5: Solve for x
    x = 501,433.00/610.26
  6. Step 6: Final answer
    x = 821.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.