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Finding the Fourth Proportional to 799.15, 1,198.63 and 594.02

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Solution

The fourth proportional to 799.15, 1,198.63 and 594.02 is: 890.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.15 : 1,198.63 = 594.02 : x
  2. Step 2: Convert to fraction form
    799.15/1,198.63 = 594.02/x
  3. Step 3: Cross multiply
    799.15x = 1,198.63 × 594.02
  4. Step 4: Simplify right side
    799.15x = 712,010.19
  5. Step 5: Solve for x
    x = 712,010.19/799.15
  6. Step 6: Final answer
    x = 890.96

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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.