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Finding the Fourth Proportional to 1,448.06, 2,171.70 and 523.45

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Solution

The fourth proportional to 1,448.06, 2,171.70 and 523.45 is: 785.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448.06 : 2,171.70 = 523.45 : x
  2. Step 2: Convert to fraction form
    1,448.06/2,171.70 = 523.45/x
  3. Step 3: Cross multiply
    1,448.06x = 2,171.70 × 523.45
  4. Step 4: Simplify right side
    1,448.06x = 1,136,770.94
  5. Step 5: Solve for x
    x = 1,136,770.94/1,448.06
  6. Step 6: Final answer
    x = 785.03

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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.