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Finding the Fourth Proportional to 947.92, 1,427.50 and 827.62

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Solution

The fourth proportional to 947.92, 1,427.50 and 827.62 is: 1,246.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.92 : 1,427.50 = 827.62 : x
  2. Step 2: Convert to fraction form
    947.92/1,427.50 = 827.62/x
  3. Step 3: Cross multiply
    947.92x = 1,427.50 × 827.62
  4. Step 4: Simplify right side
    947.92x = 1,181,427.55
  5. Step 5: Solve for x
    x = 1,181,427.55/947.92
  6. Step 6: Final answer
    x = 1,246.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.