Finding the Fourth Proportional to 846.48, 1,269.84 and 414
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Solution
The fourth proportional to 846.48, 1,269.84 and 414 is: 621.06
Step by Step Solution
- Step 1: Write the proportion equation
846.48 : 1,269.84 = 414 : x - Step 2: Convert to fraction form
846.48/1,269.84 = 414/x - Step 3: Cross multiply
846.48x = 1,269.84 × 414 - Step 4: Simplify right side
846.48x = 525,713.76 - Step 5: Solve for x
x = 525,713.76/846.48 - Step 6: Final answer
x = 621.06
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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.