Finding the Fourth Proportional to 923, 1,273.74 and 509
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Solution
The fourth proportional to 923, 1,273.74 and 509 is: 702.42
Step by Step Solution
- Step 1: Write the proportion equation
923 : 1,273.74 = 509 : x - Step 2: Convert to fraction form
923/1,273.74 = 509/x - Step 3: Cross multiply
923x = 1,273.74 × 509 - Step 4: Simplify right side
923x = 648,333.66 - Step 5: Solve for x
x = 648,333.66/923 - Step 6: Final answer
x = 702.42
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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.