Finding the Fourth Proportional to 1,316.62, 1,974.93 and 342.72
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Solution
The fourth proportional to 1,316.62, 1,974.93 and 342.72 is: 514.08
Step by Step Solution
- Step 1: Write the proportion equation
1,316.62 : 1,974.93 = 342.72 : x - Step 2: Convert to fraction form
1,316.62/1,974.93 = 342.72/x - Step 3: Cross multiply
1,316.62x = 1,974.93 × 342.72 - Step 4: Simplify right side
1,316.62x = 676,848.01 - Step 5: Solve for x
x = 676,848.01/1,316.62 - Step 6: Final answer
x = 514.08
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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.