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Finding the Fourth Proportional to 1,449.04, 2,172.84 and 475.03

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Solution

The fourth proportional to 1,449.04, 2,172.84 and 475.03 is: 712.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.04 : 2,172.84 = 475.03 : x
  2. Step 2: Convert to fraction form
    1,449.04/2,172.84 = 475.03/x
  3. Step 3: Cross multiply
    1,449.04x = 2,172.84 × 475.03
  4. Step 4: Simplify right side
    1,449.04x = 1,032,164.19
  5. Step 5: Solve for x
    x = 1,032,164.19/1,449.04
  6. Step 6: Final answer
    x = 712.31

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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.