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Finding the Fourth Proportional to 1,344.72, 2,016.24 and 420.01

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Solution

The fourth proportional to 1,344.72, 2,016.24 and 420.01 is: 629.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.72 : 2,016.24 = 420.01 : x
  2. Step 2: Convert to fraction form
    1,344.72/2,016.24 = 420.01/x
  3. Step 3: Cross multiply
    1,344.72x = 2,016.24 × 420.01
  4. Step 4: Simplify right side
    1,344.72x = 846,840.96
  5. Step 5: Solve for x
    x = 846,840.96/1,344.72
  6. Step 6: Final answer
    x = 629.75

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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.