Finding the Fourth Proportional to 767.98, 1,151.20 and 402
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Solution
The fourth proportional to 767.98, 1,151.20 and 402 is: 602.60
Step by Step Solution
- Step 1: Write the proportion equation
767.98 : 1,151.20 = 402 : x - Step 2: Convert to fraction form
767.98/1,151.20 = 402/x - Step 3: Cross multiply
767.98x = 1,151.20 × 402 - Step 4: Simplify right side
767.98x = 462,782.40 - Step 5: Solve for x
x = 462,782.40/767.98 - Step 6: Final answer
x = 602.60
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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.