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Finding the Fourth Proportional to 1,443.37, 2,163.37 and 663.45

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Solution

The fourth proportional to 1,443.37, 2,163.37 and 663.45 is: 994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.37 : 2,163.37 = 663.45 : x
  2. Step 2: Convert to fraction form
    1,443.37/2,163.37 = 663.45/x
  3. Step 3: Cross multiply
    1,443.37x = 2,163.37 × 663.45
  4. Step 4: Simplify right side
    1,443.37x = 1,435,287.83
  5. Step 5: Solve for x
    x = 1,435,287.83/1,443.37
  6. Step 6: Final answer
    x = 994.40

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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.