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Finding the Fourth Proportional to 1,467.78, 2,200.86 and 698.28

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Solution

The fourth proportional to 1,467.78, 2,200.86 and 698.28 is: 1,047.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.78 : 2,200.86 = 698.28 : x
  2. Step 2: Convert to fraction form
    1,467.78/2,200.86 = 698.28/x
  3. Step 3: Cross multiply
    1,467.78x = 2,200.86 × 698.28
  4. Step 4: Simplify right side
    1,467.78x = 1,536,816.52
  5. Step 5: Solve for x
    x = 1,536,816.52/1,467.78
  6. Step 6: Final answer
    x = 1,047.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.