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Finding the Fourth Proportional to 813.75, 1,222.44 and 489.34

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Solution

The fourth proportional to 813.75, 1,222.44 and 489.34 is: 735.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.75 : 1,222.44 = 489.34 : x
  2. Step 2: Convert to fraction form
    813.75/1,222.44 = 489.34/x
  3. Step 3: Cross multiply
    813.75x = 1,222.44 × 489.34
  4. Step 4: Simplify right side
    813.75x = 598,191.24
  5. Step 5: Solve for x
    x = 598,191.24/813.75
  6. Step 6: Final answer
    x = 735.11

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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.