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Finding the Fourth Proportional to 1,418.14, 1,956.75 and 828.55

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Solution

The fourth proportional to 1,418.14, 1,956.75 and 828.55 is: 1,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.14 : 1,956.75 = 828.55 : x
  2. Step 2: Convert to fraction form
    1,418.14/1,956.75 = 828.55/x
  3. Step 3: Cross multiply
    1,418.14x = 1,956.75 × 828.55
  4. Step 4: Simplify right side
    1,418.14x = 1,621,265.21
  5. Step 5: Solve for x
    x = 1,621,265.21/1,418.14
  6. Step 6: Final answer
    x = 1,143.23

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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.