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Finding the Fourth Proportional to 813.57, 1,219.33 and 326.35

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Solution

The fourth proportional to 813.57, 1,219.33 and 326.35 is: 489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.57 : 1,219.33 = 326.35 : x
  2. Step 2: Convert to fraction form
    813.57/1,219.33 = 326.35/x
  3. Step 3: Cross multiply
    813.57x = 1,219.33 × 326.35
  4. Step 4: Simplify right side
    813.57x = 397,928.35
  5. Step 5: Solve for x
    x = 397,928.35/813.57
  6. Step 6: Final answer
    x = 489.11

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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.