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Finding the Fourth Proportional to 917.11, 1,376.12 and 796.22

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Solution

The fourth proportional to 917.11, 1,376.12 and 796.22 is: 1,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.11 : 1,376.12 = 796.22 : x
  2. Step 2: Convert to fraction form
    917.11/1,376.12 = 796.22/x
  3. Step 3: Cross multiply
    917.11x = 1,376.12 × 796.22
  4. Step 4: Simplify right side
    917.11x = 1,095,690.29
  5. Step 5: Solve for x
    x = 1,095,690.29/917.11
  6. Step 6: Final answer
    x = 1,194.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.