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Finding the Fourth Proportional to 809.11, 1,116.52 and 450.18

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Solution

The fourth proportional to 809.11, 1,116.52 and 450.18 is: 621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.11 : 1,116.52 = 450.18 : x
  2. Step 2: Convert to fraction form
    809.11/1,116.52 = 450.18/x
  3. Step 3: Cross multiply
    809.11x = 1,116.52 × 450.18
  4. Step 4: Simplify right side
    809.11x = 502,634.97
  5. Step 5: Solve for x
    x = 502,634.97/809.11
  6. Step 6: Final answer
    x = 621.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.