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Finding the Fourth Proportional to 892.23, 1,230.08 and 626.32

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Solution

The fourth proportional to 892.23, 1,230.08 and 626.32 is: 863.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.23 : 1,230.08 = 626.32 : x
  2. Step 2: Convert to fraction form
    892.23/1,230.08 = 626.32/x
  3. Step 3: Cross multiply
    892.23x = 1,230.08 × 626.32
  4. Step 4: Simplify right side
    892.23x = 770,423.71
  5. Step 5: Solve for x
    x = 770,423.71/892.23
  6. Step 6: Final answer
    x = 863.48

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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.