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Finding the Fourth Proportional to 682.83, 1,023.64 and 335.95

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Solution

The fourth proportional to 682.83, 1,023.64 and 335.95 is: 503.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.83 : 1,023.64 = 335.95 : x
  2. Step 2: Convert to fraction form
    682.83/1,023.64 = 335.95/x
  3. Step 3: Cross multiply
    682.83x = 1,023.64 × 335.95
  4. Step 4: Simplify right side
    682.83x = 343,888.46
  5. Step 5: Solve for x
    x = 343,888.46/682.83
  6. Step 6: Final answer
    x = 503.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.