Finding the Fourth Proportional to 1,061.75, 1,465.26 and 596
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Solution
The fourth proportional to 1,061.75, 1,465.26 and 596 is: 822.51
Step by Step Solution
- Step 1: Write the proportion equation
1,061.75 : 1,465.26 = 596 : x - Step 2: Convert to fraction form
1,061.75/1,465.26 = 596/x - Step 3: Cross multiply
1,061.75x = 1,465.26 × 596 - Step 4: Simplify right side
1,061.75x = 873,294.96 - Step 5: Solve for x
x = 873,294.96/1,061.75 - Step 6: Final answer
x = 822.51
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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.