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Finding the Fourth Proportional to 682.04, 1,022.33 and 271.01

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Solution

The fourth proportional to 682.04, 1,022.33 and 271.01 is: 406.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.04 : 1,022.33 = 271.01 : x
  2. Step 2: Convert to fraction form
    682.04/1,022.33 = 271.01/x
  3. Step 3: Cross multiply
    682.04x = 1,022.33 × 271.01
  4. Step 4: Simplify right side
    682.04x = 277,055.19
  5. Step 5: Solve for x
    x = 277,055.19/682.04
  6. Step 6: Final answer
    x = 406.22

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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.