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Finding the Fourth Proportional to 1,448.28, 2,172.74 and 447.64

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Solution

The fourth proportional to 1,448.28, 2,172.74 and 447.64 is: 671.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.28 : 2,172.74 = 447.64 : x
  2. Step 2: Convert to fraction form
    1,448.28/2,172.74 = 447.64/x
  3. Step 3: Cross multiply
    1,448.28x = 2,172.74 × 447.64
  4. Step 4: Simplify right side
    1,448.28x = 972,594.47
  5. Step 5: Solve for x
    x = 972,594.47/1,448.28
  6. Step 6: Final answer
    x = 671.55

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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.