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Finding the Fourth Proportional to 1,096, 1,643.28 and 518.56

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Solution

The fourth proportional to 1,096, 1,643.28 and 518.56 is: 777.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096 : 1,643.28 = 518.56 : x
  2. Step 2: Convert to fraction form
    1,096/1,643.28 = 518.56/x
  3. Step 3: Cross multiply
    1,096x = 1,643.28 × 518.56
  4. Step 4: Simplify right side
    1,096x = 852,139.28
  5. Step 5: Solve for x
    x = 852,139.28/1,096
  6. Step 6: Final answer
    x = 777.50

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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.