Finding the Fourth Proportional to 824.04, 1,136.70 and 513
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Solution
The fourth proportional to 824.04, 1,136.70 and 513 is: 707.64
Step by Step Solution
- Step 1: Write the proportion equation
824.04 : 1,136.70 = 513 : x - Step 2: Convert to fraction form
824.04/1,136.70 = 513/x - Step 3: Cross multiply
824.04x = 1,136.70 × 513 - Step 4: Simplify right side
824.04x = 583,127.10 - Step 5: Solve for x
x = 583,127.10/824.04 - Step 6: Final answer
x = 707.64
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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.