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Finding the Fourth Proportional to 995.90, 1,490.31 and 605.75

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Solution

The fourth proportional to 995.90, 1,490.31 and 605.75 is: 906.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.90 : 1,490.31 = 605.75 : x
  2. Step 2: Convert to fraction form
    995.90/1,490.31 = 605.75/x
  3. Step 3: Cross multiply
    995.90x = 1,490.31 × 605.75
  4. Step 4: Simplify right side
    995.90x = 902,759.01
  5. Step 5: Solve for x
    x = 902,759.01/995.90
  6. Step 6: Final answer
    x = 906.47

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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.