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Finding the Fourth Proportional to 809.26, 1,116.66 and 477.73

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Solution

The fourth proportional to 809.26, 1,116.66 and 477.73 is: 659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.26 : 1,116.66 = 477.73 : x
  2. Step 2: Convert to fraction form
    809.26/1,116.66 = 477.73/x
  3. Step 3: Cross multiply
    809.26x = 1,116.66 × 477.73
  4. Step 4: Simplify right side
    809.26x = 533,461.98
  5. Step 5: Solve for x
    x = 533,461.98/809.26
  6. Step 6: Final answer
    x = 659.20

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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.