Finding the Fourth Proportional to 1,508.82, 2,264 and 687
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Solution
The fourth proportional to 1,508.82, 2,264 and 687 is: 1,030.85
Step by Step Solution
- Step 1: Write the proportion equation
1,508.82 : 2,264 = 687 : x - Step 2: Convert to fraction form
1,508.82/2,264 = 687/x - Step 3: Cross multiply
1,508.82x = 2,264 × 687 - Step 4: Simplify right side
1,508.82x = 1,555,368 - Step 5: Solve for x
x = 1,555,368/1,508.82 - Step 6: Final answer
x = 1,030.85
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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.