Finding the Fourth Proportional to 871.30, 1,306.60 and 384
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Solution
The fourth proportional to 871.30, 1,306.60 and 384 is: 575.85
Step by Step Solution
- Step 1: Write the proportion equation
871.30 : 1,306.60 = 384 : x - Step 2: Convert to fraction form
871.30/1,306.60 = 384/x - Step 3: Cross multiply
871.30x = 1,306.60 × 384 - Step 4: Simplify right side
871.30x = 501,732.48 - Step 5: Solve for x
x = 501,732.48/871.30 - Step 6: Final answer
x = 575.85
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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.