Finding the Fourth Proportional to 1,442.24, 2,163.06 and 416
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Solution
The fourth proportional to 1,442.24, 2,163.06 and 416 is: 623.91
Step by Step Solution
- Step 1: Write the proportion equation
1,442.24 : 2,163.06 = 416 : x - Step 2: Convert to fraction form
1,442.24/2,163.06 = 416/x - Step 3: Cross multiply
1,442.24x = 2,163.06 × 416 - Step 4: Simplify right side
1,442.24x = 899,832.96 - Step 5: Solve for x
x = 899,832.96/1,442.24 - Step 6: Final answer
x = 623.91
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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.