Finding the Fourth Proportional to 1,588.24, 2,382.60 and 562
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Solution
The fourth proportional to 1,588.24, 2,382.60 and 562 is: 843.08
Step by Step Solution
- Step 1: Write the proportion equation
1,588.24 : 2,382.60 = 562 : x - Step 2: Convert to fraction form
1,588.24/2,382.60 = 562/x - Step 3: Cross multiply
1,588.24x = 2,382.60 × 562 - Step 4: Simplify right side
1,588.24x = 1,339,021.20 - Step 5: Solve for x
x = 1,339,021.20/1,588.24 - Step 6: Final answer
x = 843.08
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.