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Finding the Fourth Proportional to 682.01, 1,023.12 and 249.07

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Solution

The fourth proportional to 682.01, 1,023.12 and 249.07 is: 373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.01 : 1,023.12 = 249.07 : x
  2. Step 2: Convert to fraction form
    682.01/1,023.12 = 249.07/x
  3. Step 3: Cross multiply
    682.01x = 1,023.12 × 249.07
  4. Step 4: Simplify right side
    682.01x = 254,822.14
  5. Step 5: Solve for x
    x = 254,822.14/682.01
  6. Step 6: Final answer
    x = 373.63

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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.