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Finding the Fourth Proportional to 809.35, 1,212.06 and 461.64

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Solution

The fourth proportional to 809.35, 1,212.06 and 461.64 is: 691.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.35 : 1,212.06 = 461.64 : x
  2. Step 2: Convert to fraction form
    809.35/1,212.06 = 461.64/x
  3. Step 3: Cross multiply
    809.35x = 1,212.06 × 461.64
  4. Step 4: Simplify right side
    809.35x = 559,527.01
  5. Step 5: Solve for x
    x = 559,527.01/809.35
  6. Step 6: Final answer
    x = 691.33

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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.