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Finding the Fourth Proportional to 995.62, 1,492.74 and 495.22

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Solution

The fourth proportional to 995.62, 1,492.74 and 495.22 is: 742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.62 : 1,492.74 = 495.22 : x
  2. Step 2: Convert to fraction form
    995.62/1,492.74 = 495.22/x
  3. Step 3: Cross multiply
    995.62x = 1,492.74 × 495.22
  4. Step 4: Simplify right side
    995.62x = 739,234.70
  5. Step 5: Solve for x
    x = 739,234.70/995.62
  6. Step 6: Final answer
    x = 742.49

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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.