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Finding the Fourth Proportional to 1,412.43, 2,118.72 and 475.36

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Solution

The fourth proportional to 1,412.43, 2,118.72 and 475.36 is: 713.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.43 : 2,118.72 = 475.36 : x
  2. Step 2: Convert to fraction form
    1,412.43/2,118.72 = 475.36/x
  3. Step 3: Cross multiply
    1,412.43x = 2,118.72 × 475.36
  4. Step 4: Simplify right side
    1,412.43x = 1,007,149.44
  5. Step 5: Solve for x
    x = 1,007,149.44/1,412.43
  6. Step 6: Final answer
    x = 713.06

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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.