Finding the Fourth Proportional to 857, 1,182.82 and 489
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Solution
The fourth proportional to 857, 1,182.82 and 489 is: 674.91
Step by Step Solution
- Step 1: Write the proportion equation
857 : 1,182.82 = 489 : x - Step 2: Convert to fraction form
857/1,182.82 = 489/x - Step 3: Cross multiply
857x = 1,182.82 × 489 - Step 4: Simplify right side
857x = 578,398.98 - Step 5: Solve for x
x = 578,398.98/857 - Step 6: Final answer
x = 674.91
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.