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Finding the Fourth Proportional to 613, 844.59 and 596.80

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Solution

The fourth proportional to 613, 844.59 and 596.80 is: 822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    613 : 844.59 = 596.80 : x
  2. Step 2: Convert to fraction form
    613/844.59 = 596.80/x
  3. Step 3: Cross multiply
    613x = 844.59 × 596.80
  4. Step 4: Simplify right side
    613x = 504,051.31
  5. Step 5: Solve for x
    x = 504,051.31/613
  6. Step 6: Final answer
    x = 822.27

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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.