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Finding the Fourth Proportional to 1,213.50, 1,820.26 and 433.54

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Solution

The fourth proportional to 1,213.50, 1,820.26 and 433.54 is: 650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.50 : 1,820.26 = 433.54 : x
  2. Step 2: Convert to fraction form
    1,213.50/1,820.26 = 433.54/x
  3. Step 3: Cross multiply
    1,213.50x = 1,820.26 × 433.54
  4. Step 4: Simplify right side
    1,213.50x = 789,146.42
  5. Step 5: Solve for x
    x = 789,146.42/1,213.50
  6. Step 6: Final answer
    x = 650.31

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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.