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Finding the Fourth Proportional to 1,213.95, 1,820.30 and 433.82

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Solution

The fourth proportional to 1,213.95, 1,820.30 and 433.82 is: 650.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.95 : 1,820.30 = 433.82 : x
  2. Step 2: Convert to fraction form
    1,213.95/1,820.30 = 433.82/x
  3. Step 3: Cross multiply
    1,213.95x = 1,820.30 × 433.82
  4. Step 4: Simplify right side
    1,213.95x = 789,682.55
  5. Step 5: Solve for x
    x = 789,682.55/1,213.95
  6. Step 6: Final answer
    x = 650.51

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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.