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Finding the Fourth Proportional to 799.09, 1,195.79 and 590.36

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Solution

The fourth proportional to 799.09, 1,195.79 and 590.36 is: 883.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.09 : 1,195.79 = 590.36 : x
  2. Step 2: Convert to fraction form
    799.09/1,195.79 = 590.36/x
  3. Step 3: Cross multiply
    799.09x = 1,195.79 × 590.36
  4. Step 4: Simplify right side
    799.09x = 705,937.65
  5. Step 5: Solve for x
    x = 705,937.65/799.09
  6. Step 6: Final answer
    x = 883.43

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