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Finding the Fourth Proportional to 599.00, 894.42 and 564.82

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Solution

The fourth proportional to 599.00, 894.42 and 564.82 is: 843.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.00 : 894.42 = 564.82 : x
  2. Step 2: Convert to fraction form
    599.00/894.42 = 564.82/x
  3. Step 3: Cross multiply
    599.00x = 894.42 × 564.82
  4. Step 4: Simplify right side
    599.00x = 505,184.07
  5. Step 5: Solve for x
    x = 505,184.07/599.00
  6. Step 6: Final answer
    x = 843.39

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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.