Finding the Fourth Proportional to 744, 1,116 and 288
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Solution
The fourth proportional to 744, 1,116 and 288 is: 432
Step by Step Solution
- Step 1: Write the proportion equation
744 : 1,116 = 288 : x - Step 2: Convert to fraction form
744/1,116 = 288/x - Step 3: Cross multiply
744x = 1,116 × 288 - Step 4: Simplify right side
744x = 321,408 - Step 5: Solve for x
x = 321,408/744 - Step 6: Final answer
x = 432
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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.