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Finding the Fourth Proportional to 799.92, 1,103.81 and 590.21

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Solution

The fourth proportional to 799.92, 1,103.81 and 590.21 is: 814.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.92 : 1,103.81 = 590.21 : x
  2. Step 2: Convert to fraction form
    799.92/1,103.81 = 590.21/x
  3. Step 3: Cross multiply
    799.92x = 1,103.81 × 590.21
  4. Step 4: Simplify right side
    799.92x = 651,479.70
  5. Step 5: Solve for x
    x = 651,479.70/799.92
  6. Step 6: Final answer
    x = 814.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.