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Finding the Fourth Proportional to 1,442.49, 2,163.21 and 701.64

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Solution

The fourth proportional to 1,442.49, 2,163.21 and 701.64 is: 1,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.49 : 2,163.21 = 701.64 : x
  2. Step 2: Convert to fraction form
    1,442.49/2,163.21 = 701.64/x
  3. Step 3: Cross multiply
    1,442.49x = 2,163.21 × 701.64
  4. Step 4: Simplify right side
    1,442.49x = 1,517,794.66
  5. Step 5: Solve for x
    x = 1,517,794.66/1,442.49
  6. Step 6: Final answer
    x = 1,052.20

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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.