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Finding the Fourth Proportional to 672.04, 1,008.22 and 209.80

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Solution

The fourth proportional to 672.04, 1,008.22 and 209.80 is: 314.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.04 : 1,008.22 = 209.80 : x
  2. Step 2: Convert to fraction form
    672.04/1,008.22 = 209.80/x
  3. Step 3: Cross multiply
    672.04x = 1,008.22 × 209.80
  4. Step 4: Simplify right side
    672.04x = 211,524.56
  5. Step 5: Solve for x
    x = 211,524.56/672.04
  6. Step 6: Final answer
    x = 314.75

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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.