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Finding the Fourth Proportional to 917.36, 1,380.70 and 827.92

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Solution

The fourth proportional to 917.36, 1,380.70 and 827.92 is: 1,246.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.36 : 1,380.70 = 827.92 : x
  2. Step 2: Convert to fraction form
    917.36/1,380.70 = 827.92/x
  3. Step 3: Cross multiply
    917.36x = 1,380.70 × 827.92
  4. Step 4: Simplify right side
    917.36x = 1,143,109.14
  5. Step 5: Solve for x
    x = 1,143,109.14/917.36
  6. Step 6: Final answer
    x = 1,246.09

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