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Finding the Fourth Proportional to 811.98, 1,216.42 and 550.70

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Solution

The fourth proportional to 811.98, 1,216.42 and 550.70 is: 825.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.98 : 1,216.42 = 550.70 : x
  2. Step 2: Convert to fraction form
    811.98/1,216.42 = 550.70/x
  3. Step 3: Cross multiply
    811.98x = 1,216.42 × 550.70
  4. Step 4: Simplify right side
    811.98x = 669,882.49
  5. Step 5: Solve for x
    x = 669,882.49/811.98
  6. Step 6: Final answer
    x = 825.00

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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.