Finding the Fourth Proportional to 854, 1,178.52 and 486
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Solution
The fourth proportional to 854, 1,178.52 and 486 is: 670.68
Step by Step Solution
- Step 1: Write the proportion equation
854 : 1,178.52 = 486 : x - Step 2: Convert to fraction form
854/1,178.52 = 486/x - Step 3: Cross multiply
854x = 1,178.52 × 486 - Step 4: Simplify right side
854x = 572,760.72 - Step 5: Solve for x
x = 572,760.72/854 - Step 6: Final answer
x = 670.68
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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.