Finding the Fourth Proportional to 1,142.24, 1,576 and 728
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Solution
The fourth proportional to 1,142.24, 1,576 and 728 is: 1,004.45
Step by Step Solution
- Step 1: Write the proportion equation
1,142.24 : 1,576 = 728 : x - Step 2: Convert to fraction form
1,142.24/1,576 = 728/x - Step 3: Cross multiply
1,142.24x = 1,576 × 728 - Step 4: Simplify right side
1,142.24x = 1,147,328 - Step 5: Solve for x
x = 1,147,328/1,142.24 - Step 6: Final answer
x = 1,004.45
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.