Finding the Fourth Proportional to 1,153.68, 1,730.16 and 384
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Solution
The fourth proportional to 1,153.68, 1,730.16 and 384 is: 575.88
Step by Step Solution
- Step 1: Write the proportion equation
1,153.68 : 1,730.16 = 384 : x - Step 2: Convert to fraction form
1,153.68/1,730.16 = 384/x - Step 3: Cross multiply
1,153.68x = 1,730.16 × 384 - Step 4: Simplify right side
1,153.68x = 664,381.44 - Step 5: Solve for x
x = 664,381.44/1,153.68 - Step 6: Final answer
x = 575.88
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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.