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Finding the Fourth Proportional to 949.39, 1,423.28 and 537.96

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Solution

The fourth proportional to 949.39, 1,423.28 and 537.96 is: 806.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.39 : 1,423.28 = 537.96 : x
  2. Step 2: Convert to fraction form
    949.39/1,423.28 = 537.96/x
  3. Step 3: Cross multiply
    949.39x = 1,423.28 × 537.96
  4. Step 4: Simplify right side
    949.39x = 765,669.05
  5. Step 5: Solve for x
    x = 765,669.05/949.39
  6. Step 6: Final answer
    x = 806.49

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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.