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Finding the Fourth Proportional to 995.25, 1,492.17 and 467.97

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Solution

The fourth proportional to 995.25, 1,492.17 and 467.97 is: 701.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.25 : 1,492.17 = 467.97 : x
  2. Step 2: Convert to fraction form
    995.25/1,492.17 = 467.97/x
  3. Step 3: Cross multiply
    995.25x = 1,492.17 × 467.97
  4. Step 4: Simplify right side
    995.25x = 698,290.79
  5. Step 5: Solve for x
    x = 698,290.79/995.25
  6. Step 6: Final answer
    x = 701.62

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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.