Finding the Fourth Proportional to 1,548.25, 2,323.05 and 574.09
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Solution
The fourth proportional to 1,548.25, 2,323.05 and 574.09 is: 861.39
Step by Step Solution
- Step 1: Write the proportion equation
1,548.25 : 2,323.05 = 574.09 : x - Step 2: Convert to fraction form
1,548.25/2,323.05 = 574.09/x - Step 3: Cross multiply
1,548.25x = 2,323.05 × 574.09 - Step 4: Simplify right side
1,548.25x = 1,333,639.77 - Step 5: Solve for x
x = 1,333,639.77/1,548.25 - Step 6: Final answer
x = 861.39
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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.