Finding the Fourth Proportional to 712.98, 1,069.31 and 274.07
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Solution
The fourth proportional to 712.98, 1,069.31 and 274.07 is: 411.05
Step by Step Solution
- Step 1: Write the proportion equation
712.98 : 1,069.31 = 274.07 : x - Step 2: Convert to fraction form
712.98/1,069.31 = 274.07/x - Step 3: Cross multiply
712.98x = 1,069.31 × 274.07 - Step 4: Simplify right side
712.98x = 293,069.15 - Step 5: Solve for x
x = 293,069.15/712.98 - Step 6: Final answer
x = 411.05
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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.