Finding the Fourth Proportional to 824.64, 1,138.14 and 627.78
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Solution
The fourth proportional to 824.64, 1,138.14 and 627.78 is: 866.44
Step by Step Solution
- Step 1: Write the proportion equation
824.64 : 1,138.14 = 627.78 : x - Step 2: Convert to fraction form
824.64/1,138.14 = 627.78/x - Step 3: Cross multiply
824.64x = 1,138.14 × 627.78 - Step 4: Simplify right side
824.64x = 714,501.53 - Step 5: Solve for x
x = 714,501.53/824.64 - Step 6: Final answer
x = 866.44
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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.