Finding the Fourth Proportional to 779.17, 1,167.54 and 490
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Solution
The fourth proportional to 779.17, 1,167.54 and 490 is: 734.24
Step by Step Solution
- Step 1: Write the proportion equation
779.17 : 1,167.54 = 490 : x - Step 2: Convert to fraction form
779.17/1,167.54 = 490/x - Step 3: Cross multiply
779.17x = 1,167.54 × 490 - Step 4: Simplify right side
779.17x = 572,094.60 - Step 5: Solve for x
x = 572,094.60/779.17 - Step 6: Final answer
x = 734.24
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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.