Finding the Fourth Proportional to 705.04, 1,057.04 and 272
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Solution
The fourth proportional to 705.04, 1,057.04 and 272 is: 407.80
Step by Step Solution
- Step 1: Write the proportion equation
705.04 : 1,057.04 = 272 : x - Step 2: Convert to fraction form
705.04/1,057.04 = 272/x - Step 3: Cross multiply
705.04x = 1,057.04 × 272 - Step 4: Simplify right side
705.04x = 287,514.88 - Step 5: Solve for x
x = 287,514.88/705.04 - Step 6: Final answer
x = 407.80
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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.