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Finding the Fourth Proportional to 808.02, 1,212.56 and 443.06

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Solution

The fourth proportional to 808.02, 1,212.56 and 443.06 is: 664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.02 : 1,212.56 = 443.06 : x
  2. Step 2: Convert to fraction form
    808.02/1,212.56 = 443.06/x
  3. Step 3: Cross multiply
    808.02x = 1,212.56 × 443.06
  4. Step 4: Simplify right side
    808.02x = 537,237.65
  5. Step 5: Solve for x
    x = 537,237.65/808.02
  6. Step 6: Final answer
    x = 664.88

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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.