Finding the Fourth Proportional to 855.32, 1,281.74 and 465
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Solution
The fourth proportional to 855.32, 1,281.74 and 465 is: 696.83
Step by Step Solution
- Step 1: Write the proportion equation
855.32 : 1,281.74 = 465 : x - Step 2: Convert to fraction form
855.32/1,281.74 = 465/x - Step 3: Cross multiply
855.32x = 1,281.74 × 465 - Step 4: Simplify right side
855.32x = 596,009.10 - Step 5: Solve for x
x = 596,009.10/855.32 - Step 6: Final answer
x = 696.83
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.