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Finding the Fourth Proportional to 995.26, 1,492.38 and 446.97

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Solution

The fourth proportional to 995.26, 1,492.38 and 446.97 is: 670.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.26 : 1,492.38 = 446.97 : x
  2. Step 2: Convert to fraction form
    995.26/1,492.38 = 446.97/x
  3. Step 3: Cross multiply
    995.26x = 1,492.38 × 446.97
  4. Step 4: Simplify right side
    995.26x = 667,047.41
  5. Step 5: Solve for x
    x = 667,047.41/995.26
  6. Step 6: Final answer
    x = 670.23

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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.