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Finding the Fourth Proportional to 809.65, 1,213.66 and 289.33

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Solution

The fourth proportional to 809.65, 1,213.66 and 289.33 is: 433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.65 : 1,213.66 = 289.33 : x
  2. Step 2: Convert to fraction form
    809.65/1,213.66 = 289.33/x
  3. Step 3: Cross multiply
    809.65x = 1,213.66 × 289.33
  4. Step 4: Simplify right side
    809.65x = 351,148.25
  5. Step 5: Solve for x
    x = 351,148.25/809.65
  6. Step 6: Final answer
    x = 433.70

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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.