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Finding the Fourth Proportional to 892.61, 1,230.58 and 696.41

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Solution

The fourth proportional to 892.61, 1,230.58 and 696.41 is: 960.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.61 : 1,230.58 = 696.41 : x
  2. Step 2: Convert to fraction form
    892.61/1,230.58 = 696.41/x
  3. Step 3: Cross multiply
    892.61x = 1,230.58 × 696.41
  4. Step 4: Simplify right side
    892.61x = 856,988.22
  5. Step 5: Solve for x
    x = 856,988.22/892.61
  6. Step 6: Final answer
    x = 960.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.