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Finding the Fourth Proportional to 949.70, 1,423.20 and 538.22

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Solution

The fourth proportional to 949.70, 1,423.20 and 538.22 is: 806.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.70 : 1,423.20 = 538.22 : x
  2. Step 2: Convert to fraction form
    949.70/1,423.20 = 538.22/x
  3. Step 3: Cross multiply
    949.70x = 1,423.20 × 538.22
  4. Step 4: Simplify right side
    949.70x = 765,994.70
  5. Step 5: Solve for x
    x = 765,994.70/949.70
  6. Step 6: Final answer
    x = 806.56

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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.