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Finding the Fourth Proportional to 813.89, 1,220.94 and 293.83

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Solution

The fourth proportional to 813.89, 1,220.94 and 293.83 is: 440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.89 : 1,220.94 = 293.83 : x
  2. Step 2: Convert to fraction form
    813.89/1,220.94 = 293.83/x
  3. Step 3: Cross multiply
    813.89x = 1,220.94 × 293.83
  4. Step 4: Simplify right side
    813.89x = 358,745.75
  5. Step 5: Solve for x
    x = 358,745.75/813.89
  6. Step 6: Final answer
    x = 440.78

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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.