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Finding the Fourth Proportional to 811.59, 1,217.97 and 550.97

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Solution

The fourth proportional to 811.59, 1,217.97 and 550.97 is: 826.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.59 : 1,217.97 = 550.97 : x
  2. Step 2: Convert to fraction form
    811.59/1,217.97 = 550.97/x
  3. Step 3: Cross multiply
    811.59x = 1,217.97 × 550.97
  4. Step 4: Simplify right side
    811.59x = 671,064.93
  5. Step 5: Solve for x
    x = 671,064.93/811.59
  6. Step 6: Final answer
    x = 826.85

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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.