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Finding the Fourth Proportional to 1,271.29, 1,754.67 and 828.43

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Solution

The fourth proportional to 1,271.29, 1,754.67 and 828.43 is: 1,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.29 : 1,754.67 = 828.43 : x
  2. Step 2: Convert to fraction form
    1,271.29/1,754.67 = 828.43/x
  3. Step 3: Cross multiply
    1,271.29x = 1,754.67 × 828.43
  4. Step 4: Simplify right side
    1,271.29x = 1,453,621.27
  5. Step 5: Solve for x
    x = 1,453,621.27/1,271.29
  6. Step 6: Final answer
    x = 1,143.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.