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Finding the Fourth Proportional to 1,183.35, 1,631.32 and 828.18

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Solution

The fourth proportional to 1,183.35, 1,631.32 and 828.18 is: 1,141.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.35 : 1,631.32 = 828.18 : x
  2. Step 2: Convert to fraction form
    1,183.35/1,631.32 = 828.18/x
  3. Step 3: Cross multiply
    1,183.35x = 1,631.32 × 828.18
  4. Step 4: Simplify right side
    1,183.35x = 1,351,021.52
  5. Step 5: Solve for x
    x = 1,351,021.52/1,183.35
  6. Step 6: Final answer
    x = 1,141.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.