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Finding the Fourth Proportional to 862.19, 1,183.45 and 816.06

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Solution

The fourth proportional to 862.19, 1,183.45 and 816.06 is: 1,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.19 : 1,183.45 = 816.06 : x
  2. Step 2: Convert to fraction form
    862.19/1,183.45 = 816.06/x
  3. Step 3: Cross multiply
    862.19x = 1,183.45 × 816.06
  4. Step 4: Simplify right side
    862.19x = 965,767.32
  5. Step 5: Solve for x
    x = 965,767.32/862.19
  6. Step 6: Final answer
    x = 1,120.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.