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Finding the Fourth Proportional to 995.26, 1,490.92 and 682.14

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Solution

The fourth proportional to 995.26, 1,490.92 and 682.14 is: 1,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.26 : 1,490.92 = 682.14 : x
  2. Step 2: Convert to fraction form
    995.26/1,490.92 = 682.14/x
  3. Step 3: Cross multiply
    995.26x = 1,490.92 × 682.14
  4. Step 4: Simplify right side
    995.26x = 1,017,011.59
  5. Step 5: Solve for x
    x = 1,017,011.59/995.26
  6. Step 6: Final answer
    x = 1,021.86

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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.