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Finding the Fourth Proportional to 849.70, 1,171.82 and 550.80

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Solution

The fourth proportional to 849.70, 1,171.82 and 550.80 is: 759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.70 : 1,171.82 = 550.80 : x
  2. Step 2: Convert to fraction form
    849.70/1,171.82 = 550.80/x
  3. Step 3: Cross multiply
    849.70x = 1,171.82 × 550.80
  4. Step 4: Simplify right side
    849.70x = 645,438.46
  5. Step 5: Solve for x
    x = 645,438.46/849.70
  6. Step 6: Final answer
    x = 759.61

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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.