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Finding the Fourth Proportional to 1,448.36, 2,172.34 and 474.47

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Solution

The fourth proportional to 1,448.36, 2,172.34 and 474.47 is: 711.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.36 : 2,172.34 = 474.47 : x
  2. Step 2: Convert to fraction form
    1,448.36/2,172.34 = 474.47/x
  3. Step 3: Cross multiply
    1,448.36x = 2,172.34 × 474.47
  4. Step 4: Simplify right side
    1,448.36x = 1,030,707.79
  5. Step 5: Solve for x
    x = 1,030,707.79/1,448.36
  6. Step 6: Final answer
    x = 711.64

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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.