Finding the Fourth Proportional to 853.98, 1,278.72 and 420
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Solution
The fourth proportional to 853.98, 1,278.72 and 420 is: 628.89
Step by Step Solution
- Step 1: Write the proportion equation
853.98 : 1,278.72 = 420 : x - Step 2: Convert to fraction form
853.98/1,278.72 = 420/x - Step 3: Cross multiply
853.98x = 1,278.72 × 420 - Step 4: Simplify right side
853.98x = 537,062.40 - Step 5: Solve for x
x = 537,062.40/853.98 - Step 6: Final answer
x = 628.89
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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.