Finding the Fourth Proportional to 783.39, 1,175.13 and 206.25
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Solution
The fourth proportional to 783.39, 1,175.13 and 206.25 is: 309.39
Step by Step Solution
- Step 1: Write the proportion equation
783.39 : 1,175.13 = 206.25 : x - Step 2: Convert to fraction form
783.39/1,175.13 = 206.25/x - Step 3: Cross multiply
783.39x = 1,175.13 × 206.25 - Step 4: Simplify right side
783.39x = 242,370.56 - Step 5: Solve for x
x = 242,370.56/783.39 - Step 6: Final answer
x = 309.39
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.