I bought myself a 900 euro acer laptop before christmas and it has almost the same specs. Mine has i7-4702MQ 2.2-3.2GHz(w/turbo), NVIDIA GEFORCE GTX 760m 2.0 GB GDDR5, Full HD 17.3" Acer ComfyView LCD, 8GB memory DDR3, RPM 5400, 1 Terabyte HDD, 120W power usage.
Mine only has a crappier casing and no backlights, but it can play RS smoothly on max if i take idle animation off. That alienware can also just barely play RS on max setting and forget about HM*L5 beta.
I still entered and hope to have a backup Laptop.
Lol wut? I'm currently using Lenovo G505s what specs are alot crappier than yours, and it still can play RS with MAXED settings AND with animations. I can even play HTML5 with low-mid settings.