Finding the Fourth Proportional to 971.16, 1,456.58 and 287
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Solution
The fourth proportional to 971.16, 1,456.58 and 287 is: 430.45
Step by Step Solution
- Step 1: Write the proportion equation
971.16 : 1,456.58 = 287 : x - Step 2: Convert to fraction form
971.16/1,456.58 = 287/x - Step 3: Cross multiply
971.16x = 1,456.58 × 287 - Step 4: Simplify right side
971.16x = 418,038.46 - Step 5: Solve for x
x = 418,038.46/971.16 - Step 6: Final answer
x = 430.45
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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.