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Finding the Fourth Proportional to 843.74, 1,266.80 and 433.16

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Solution

The fourth proportional to 843.74, 1,266.80 and 433.16 is: 650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.74 : 1,266.80 = 433.16 : x
  2. Step 2: Convert to fraction form
    843.74/1,266.80 = 433.16/x
  3. Step 3: Cross multiply
    843.74x = 1,266.80 × 433.16
  4. Step 4: Simplify right side
    843.74x = 548,727.09
  5. Step 5: Solve for x
    x = 548,727.09/843.74
  6. Step 6: Final answer
    x = 650.35

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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.