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Finding the Fourth Proportional to 809.54, 1,116.84 and 477.74

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Solution

The fourth proportional to 809.54, 1,116.84 and 477.74 is: 659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.54 : 1,116.84 = 477.74 : x
  2. Step 2: Convert to fraction form
    809.54/1,116.84 = 477.74/x
  3. Step 3: Cross multiply
    809.54x = 1,116.84 × 477.74
  4. Step 4: Simplify right side
    809.54x = 533,559.14
  5. Step 5: Solve for x
    x = 533,559.14/809.54
  6. Step 6: Final answer
    x = 659.09

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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.