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Finding the Fourth Proportional to 920.36, 1,379.94 and 823.16

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Solution

The fourth proportional to 920.36, 1,379.94 and 823.16 is: 1,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.36 : 1,379.94 = 823.16 : x
  2. Step 2: Convert to fraction form
    920.36/1,379.94 = 823.16/x
  3. Step 3: Cross multiply
    920.36x = 1,379.94 × 823.16
  4. Step 4: Simplify right side
    920.36x = 1,135,911.77
  5. Step 5: Solve for x
    x = 1,135,911.77/920.36
  6. Step 6: Final answer
    x = 1,234.20

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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.