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Finding the Fourth Proportional to 809.34, 1,214.39 and 289.78

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Solution

The fourth proportional to 809.34, 1,214.39 and 289.78 is: 434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.34 : 1,214.39 = 289.78 : x
  2. Step 2: Convert to fraction form
    809.34/1,214.39 = 289.78/x
  3. Step 3: Cross multiply
    809.34x = 1,214.39 × 289.78
  4. Step 4: Simplify right side
    809.34x = 351,903.62
  5. Step 5: Solve for x
    x = 351,903.62/809.34
  6. Step 6: Final answer
    x = 434.80

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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.