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Finding the Fourth Proportional to 599.12, 894.82 and 550.64

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Solution

The fourth proportional to 599.12, 894.82 and 550.64 is: 822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.12 : 894.82 = 550.64 : x
  2. Step 2: Convert to fraction form
    599.12/894.82 = 550.64/x
  3. Step 3: Cross multiply
    599.12x = 894.82 × 550.64
  4. Step 4: Simplify right side
    599.12x = 492,723.68
  5. Step 5: Solve for x
    x = 492,723.68/599.12
  6. Step 6: Final answer
    x = 822.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.