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Finding the Fourth Proportional to 609, 842.02 and 581.80

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Solution

The fourth proportional to 609, 842.02 and 581.80 is: 804.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    609 : 842.02 = 581.80 : x
  2. Step 2: Convert to fraction form
    609/842.02 = 581.80/x
  3. Step 3: Cross multiply
    609x = 842.02 × 581.80
  4. Step 4: Simplify right side
    609x = 489,887.24
  5. Step 5: Solve for x
    x = 489,887.24/609
  6. Step 6: Final answer
    x = 804.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.