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Finding the Fourth Proportional to 799.57, 1,197.99 and 594.54

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Solution

The fourth proportional to 799.57, 1,197.99 and 594.54 is: 890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.57 : 1,197.99 = 594.54 : x
  2. Step 2: Convert to fraction form
    799.57/1,197.99 = 594.54/x
  3. Step 3: Cross multiply
    799.57x = 1,197.99 × 594.54
  4. Step 4: Simplify right side
    799.57x = 712,252.97
  5. Step 5: Solve for x
    x = 712,252.97/799.57
  6. Step 6: Final answer
    x = 890.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.