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Finding the Fourth Proportional to 1,467.44, 2,202.12 and 698

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Solution

The fourth proportional to 1,467.44, 2,202.12 and 698 is: 1,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.44 : 2,202.12 = 698 : x
  2. Step 2: Convert to fraction form
    1,467.44/2,202.12 = 698/x
  3. Step 3: Cross multiply
    1,467.44x = 2,202.12 × 698
  4. Step 4: Simplify right side
    1,467.44x = 1,537,079.76
  5. Step 5: Solve for x
    x = 1,537,079.76/1,467.44
  6. Step 6: Final answer
    x = 1,047.46

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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.