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Finding the Fourth Proportional to 1,401.06, 2,102.42 and 523.42

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Solution

The fourth proportional to 1,401.06, 2,102.42 and 523.42 is: 785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.06 : 2,102.42 = 523.42 : x
  2. Step 2: Convert to fraction form
    1,401.06/2,102.42 = 523.42/x
  3. Step 3: Cross multiply
    1,401.06x = 2,102.42 × 523.42
  4. Step 4: Simplify right side
    1,401.06x = 1,100,448.68
  5. Step 5: Solve for x
    x = 1,100,448.68/1,401.06
  6. Step 6: Final answer
    x = 785.44

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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.