Finding the Fourth Proportional to 1,312, 1,968 and 446.32
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Solution
The fourth proportional to 1,312, 1,968 and 446.32 is: 669.48
Step by Step Solution
- Step 1: Write the proportion equation
1,312 : 1,968 = 446.32 : x - Step 2: Convert to fraction form
1,312/1,968 = 446.32/x - Step 3: Cross multiply
1,312x = 1,968 × 446.32 - Step 4: Simplify right side
1,312x = 878,357.76 - Step 5: Solve for x
x = 878,357.76/1,312 - Step 6: Final answer
x = 669.48
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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.