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Finding the Fourth Proportional to 682.48, 1,022.65 and 389.62

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Solution

The fourth proportional to 682.48, 1,022.65 and 389.62 is: 583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.48 : 1,022.65 = 389.62 : x
  2. Step 2: Convert to fraction form
    682.48/1,022.65 = 389.62/x
  3. Step 3: Cross multiply
    682.48x = 1,022.65 × 389.62
  4. Step 4: Simplify right side
    682.48x = 398,444.89
  5. Step 5: Solve for x
    x = 398,444.89/682.48
  6. Step 6: Final answer
    x = 583.82

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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.