The unknown scale size is 1.250
What is proportion?
It is an equation in which two ratios are set equal to each other.
What is scale?
"It is a number by which the size of any figure or shape can be changed with respect to its original size."
What is rounding off a number?
"Rounding off means a number is made simpler by keeping its value intact but closer to the next number."
Rounding to the n-th place
"If number after the n-th place is greater than 5, add 1 to the n-th value. If it is less than 5, leave the n-th place value as it is, and remove all the numbers present after the tenth's place.
We have been given four sizes of scaled text.
These sizes must be in proportion.
Consider,
1.965 / 1.563 = 1.2501
Let the unknown scale size is 'x'.
So, 1.563/x = 1.2501
⇒ 1.563 = 1.2501 × (x)
⇒ 1.563/1.2501 = x
⇒ x = 1.2504
⇒ x = 1.250 ...................(rounding to the nearest thousandth)
Since these sizes are in proportion, the ratio of last two sizes must be 1.250
Consider, x / 1
= 1.250 / 1
= 1.250
Therefore, the unknown scale size is 1.250
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