Finding the Fourth Proportional to 742, 1,113.18 and 229
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Solution
The fourth proportional to 742, 1,113.18 and 229 is: 343.56
Step by Step Solution
- Step 1: Write the proportion equation
742 : 1,113.18 = 229 : x - Step 2: Convert to fraction form
742/1,113.18 = 229/x - Step 3: Cross multiply
742x = 1,113.18 × 229 - Step 4: Simplify right side
742x = 254,918.22 - Step 5: Solve for x
x = 254,918.22/742 - Step 6: Final answer
x = 343.56
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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.