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Finding the Fourth Proportional to 1,213.62, 1,820.93 and 433.73

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Solution

The fourth proportional to 1,213.62, 1,820.93 and 433.73 is: 650.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.62 : 1,820.93 = 433.73 : x
  2. Step 2: Convert to fraction form
    1,213.62/1,820.93 = 433.73/x
  3. Step 3: Cross multiply
    1,213.62x = 1,820.93 × 433.73
  4. Step 4: Simplify right side
    1,213.62x = 789,780.70
  5. Step 5: Solve for x
    x = 789,780.70/1,213.62
  6. Step 6: Final answer
    x = 650.76

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1.5x scale

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.