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Finding the Fourth Proportional to 799.76, 1,103.19 and 550.65

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Solution

The fourth proportional to 799.76, 1,103.19 and 550.65 is: 759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.76 : 1,103.19 = 550.65 : x
  2. Step 2: Convert to fraction form
    799.76/1,103.19 = 550.65/x
  3. Step 3: Cross multiply
    799.76x = 1,103.19 × 550.65
  4. Step 4: Simplify right side
    799.76x = 607,471.57
  5. Step 5: Solve for x
    x = 607,471.57/799.76
  6. Step 6: Final answer
    x = 759.57

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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.