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Finding the Fourth Proportional to 809.72, 1,215.20 and 626.66

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Solution

The fourth proportional to 809.72, 1,215.20 and 626.66 is: 940.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.72 : 1,215.20 = 626.66 : x
  2. Step 2: Convert to fraction form
    809.72/1,215.20 = 626.66/x
  3. Step 3: Cross multiply
    809.72x = 1,215.20 × 626.66
  4. Step 4: Simplify right side
    809.72x = 761,517.23
  5. Step 5: Solve for x
    x = 761,517.23/809.72
  6. Step 6: Final answer
    x = 940.47

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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.