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Finding the Fourth Proportional to 1,246.12, 1,868.28 and 698.56

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Solution

The fourth proportional to 1,246.12, 1,868.28 and 698.56 is: 1,047.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.12 : 1,868.28 = 698.56 : x
  2. Step 2: Convert to fraction form
    1,246.12/1,868.28 = 698.56/x
  3. Step 3: Cross multiply
    1,246.12x = 1,868.28 × 698.56
  4. Step 4: Simplify right side
    1,246.12x = 1,305,105.68
  5. Step 5: Solve for x
    x = 1,305,105.68/1,246.12
  6. Step 6: Final answer
    x = 1,047.34

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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.