Finding the Fourth Proportional to 946, 1,303.86 and 779.68
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Solution
The fourth proportional to 946, 1,303.86 and 779.68 is: 1,074.62
Step by Step Solution
- Step 1: Write the proportion equation
946 : 1,303.86 = 779.68 : x - Step 2: Convert to fraction form
946/1,303.86 = 779.68/x - Step 3: Cross multiply
946x = 1,303.86 × 779.68 - Step 4: Simplify right side
946x = 1,016,593.56 - Step 5: Solve for x
x = 1,016,593.56/946 - Step 6: Final answer
x = 1,074.62
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.