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Finding the Fourth Proportional to 813.57, 1,220.14 and 228.54

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Solution

The fourth proportional to 813.57, 1,220.14 and 228.54 is: 342.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.57 : 1,220.14 = 228.54 : x
  2. Step 2: Convert to fraction form
    813.57/1,220.14 = 228.54/x
  3. Step 3: Cross multiply
    813.57x = 1,220.14 × 228.54
  4. Step 4: Simplify right side
    813.57x = 278,850.80
  5. Step 5: Solve for x
    x = 278,850.80/813.57
  6. Step 6: Final answer
    x = 342.75

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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.