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Finding the Fourth Proportional to 809.22, 1,214.02 and 289.25

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Solution

The fourth proportional to 809.22, 1,214.02 and 289.25 is: 433.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.22 : 1,214.02 = 289.25 : x
  2. Step 2: Convert to fraction form
    809.22/1,214.02 = 289.25/x
  3. Step 3: Cross multiply
    809.22x = 1,214.02 × 289.25
  4. Step 4: Simplify right side
    809.22x = 351,160.96
  5. Step 5: Solve for x
    x = 351,160.96/809.22
  6. Step 6: Final answer
    x = 433.95

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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.