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Finding the Fourth Proportional to 862.56, 1,293.08 and 423.56

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Solution

The fourth proportional to 862.56, 1,293.08 and 423.56 is: 634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.56 : 1,293.08 = 423.56 : x
  2. Step 2: Convert to fraction form
    862.56/1,293.08 = 423.56/x
  3. Step 3: Cross multiply
    862.56x = 1,293.08 × 423.56
  4. Step 4: Simplify right side
    862.56x = 547,696.96
  5. Step 5: Solve for x
    x = 547,696.96/862.56
  6. Step 6: Final answer
    x = 634.97

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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.