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Finding the Fourth Proportional to 681.63, 1,022.00 and 334.68

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Solution

The fourth proportional to 681.63, 1,022.00 and 334.68 is: 501.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.63 : 1,022.00 = 334.68 : x
  2. Step 2: Convert to fraction form
    681.63/1,022.00 = 334.68/x
  3. Step 3: Cross multiply
    681.63x = 1,022.00 × 334.68
  4. Step 4: Simplify right side
    681.63x = 342,041.29
  5. Step 5: Solve for x
    x = 342,041.29/681.63
  6. Step 6: Final answer
    x = 501.80

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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.