Finding the Fourth Proportional to 1,506, 2,258.64 and 532.08
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Solution
The fourth proportional to 1,506, 2,258.64 and 532.08 is: 797.99
Step by Step Solution
- Step 1: Write the proportion equation
1,506 : 2,258.64 = 532.08 : x - Step 2: Convert to fraction form
1,506/2,258.64 = 532.08/x - Step 3: Cross multiply
1,506x = 2,258.64 × 532.08 - Step 4: Simplify right side
1,506x = 1,201,777.17 - Step 5: Solve for x
x = 1,201,777.17/1,506 - Step 6: Final answer
x = 797.99
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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.