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Finding the Fourth Proportional to 682.07, 1,023.10 and 249.22

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Solution

The fourth proportional to 682.07, 1,023.10 and 249.22 is: 373.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.07 : 1,023.10 = 249.22 : x
  2. Step 2: Convert to fraction form
    682.07/1,023.10 = 249.22/x
  3. Step 3: Cross multiply
    682.07x = 1,023.10 × 249.22
  4. Step 4: Simplify right side
    682.07x = 254,980.02
  5. Step 5: Solve for x
    x = 254,980.02/682.07
  6. Step 6: Final answer
    x = 373.83

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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.