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Finding the Fourth Proportional to 682.56, 1,023.84 and 243.90

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Solution

The fourth proportional to 682.56, 1,023.84 and 243.90 is: 365.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.56 : 1,023.84 = 243.90 : x
  2. Step 2: Convert to fraction form
    682.56/1,023.84 = 243.90/x
  3. Step 3: Cross multiply
    682.56x = 1,023.84 × 243.90
  4. Step 4: Simplify right side
    682.56x = 249,714.58
  5. Step 5: Solve for x
    x = 249,714.58/682.56
  6. Step 6: Final answer
    x = 365.85

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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.