dog is chasing a hare. It takes the dog hops 5 times for the rabbit to hop 6 times, and the distance the dog hops 4 times is equal to the distance the rabbit hops 7 times. The dog started to chase after the rabbit jumped 550 meters. Ask how far the dog has to jump to catch up with the rabbit?
一只狗追赶一只野兔，狗跳5次的时间兔子能跳6次，狗跳4次的距离与兔子7次的距离相等．兔子跳出550米后狗子才开始追赶．问狗跳了多远才能追上兔子？
<gadget id="calculator">7 / 4</gadget>
<output>7/4 = around 1.75</output>

<gadget id="calculator">6 / 5</gadget>
<output>6/5 = around 1.2</output>

<gadget id="calculator">(7/4) / (6/5)</gadget>
<output>35/24 = around 1.458333</output>

<gadget id="calculator">(35/24) * 550</gadget>
<output>9_625/12 = around 802.083333</output>

<gadget id="calculator">(35/24) - 1</gadget>
<output>11/24 = around 0.458333</output>

<gadget id="calculator">(9_625/12) / (11/24)</gadget>
<output>1_750</output>

<result>1_750</result>