Finding the Fourth Proportional to 767.80, 1,059.06 and 457
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Solution
The fourth proportional to 767.80, 1,059.06 and 457 is: 630.36
Step by Step Solution
- Step 1: Write the proportion equation
767.80 : 1,059.06 = 457 : x - Step 2: Convert to fraction form
767.80/1,059.06 = 457/x - Step 3: Cross multiply
767.80x = 1,059.06 × 457 - Step 4: Simplify right side
767.80x = 483,990.42 - Step 5: Solve for x
x = 483,990.42/767.80 - Step 6: Final answer
x = 630.36
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.