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Finding the Fourth Proportional to 613.80, 844.56 and 597.60

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Solution

The fourth proportional to 613.80, 844.56 and 597.60 is: 822.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.80 : 844.56 = 597.60 : x
  2. Step 2: Convert to fraction form
    613.80/844.56 = 597.60/x
  3. Step 3: Cross multiply
    613.80x = 844.56 × 597.60
  4. Step 4: Simplify right side
    613.80x = 504,709.06
  5. Step 5: Solve for x
    x = 504,709.06/613.80
  6. Step 6: Final answer
    x = 822.27

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Why These Related Problems?

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