Finding the Fourth Proportional to 709, 1,064 and 253
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Solution
The fourth proportional to 709, 1,064 and 253 is: 379.68
Step by Step Solution
- Step 1: Write the proportion equation
709 : 1,064 = 253 : x - Step 2: Convert to fraction form
709/1,064 = 253/x - Step 3: Cross multiply
709x = 1,064 × 253 - Step 4: Simplify right side
709x = 269,192 - Step 5: Solve for x
x = 269,192/709 - Step 6: Final answer
x = 379.68
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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.