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Finding the Fourth Proportional to 1,446.53, 2,169.41 and 406.47

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Solution

The fourth proportional to 1,446.53, 2,169.41 and 406.47 is: 609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.53 : 2,169.41 = 406.47 : x
  2. Step 2: Convert to fraction form
    1,446.53/2,169.41 = 406.47/x
  3. Step 3: Cross multiply
    1,446.53x = 2,169.41 × 406.47
  4. Step 4: Simplify right side
    1,446.53x = 881,798.05
  5. Step 5: Solve for x
    x = 881,798.05/1,446.53
  6. Step 6: Final answer
    x = 609.59

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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.