Finding the Fourth Proportional to 762, 1,143.16 and 306
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Solution
The fourth proportional to 762, 1,143.16 and 306 is: 459.06
Step by Step Solution
- Step 1: Write the proportion equation
762 : 1,143.16 = 306 : x - Step 2: Convert to fraction form
762/1,143.16 = 306/x - Step 3: Cross multiply
762x = 1,143.16 × 306 - Step 4: Simplify right side
762x = 349,806.96 - Step 5: Solve for x
x = 349,806.96/762 - Step 6: Final answer
x = 459.06
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.