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Finding the Fourth Proportional to 995.14, 1,491.90 and 506.80

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Solution

The fourth proportional to 995.14, 1,491.90 and 506.80 is: 759.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.14 : 1,491.90 = 506.80 : x
  2. Step 2: Convert to fraction form
    995.14/1,491.90 = 506.80/x
  3. Step 3: Cross multiply
    995.14x = 1,491.90 × 506.80
  4. Step 4: Simplify right side
    995.14x = 756,094.92
  5. Step 5: Solve for x
    x = 756,094.92/995.14
  6. Step 6: Final answer
    x = 759.79

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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.