Finding the Fourth Proportional to 942.12, 1,413.54 and 429
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Solution
The fourth proportional to 942.12, 1,413.54 and 429 is: 643.66
Step by Step Solution
- Step 1: Write the proportion equation
942.12 : 1,413.54 = 429 : x - Step 2: Convert to fraction form
942.12/1,413.54 = 429/x - Step 3: Cross multiply
942.12x = 1,413.54 × 429 - Step 4: Simplify right side
942.12x = 606,408.66 - Step 5: Solve for x
x = 606,408.66/942.12 - Step 6: Final answer
x = 643.66
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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.