Finding the Fourth Proportional to 854.48, 1,178.68 and 560
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Solution
The fourth proportional to 854.48, 1,178.68 and 560 is: 772.47
Step by Step Solution
- Step 1: Write the proportion equation
854.48 : 1,178.68 = 560 : x - Step 2: Convert to fraction form
854.48/1,178.68 = 560/x - Step 3: Cross multiply
854.48x = 1,178.68 × 560 - Step 4: Simplify right side
854.48x = 660,060.80 - Step 5: Solve for x
x = 660,060.80/854.48 - Step 6: Final answer
x = 772.47
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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.