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Finding the Fourth Proportional to 873.64, 1,198.24 and 775.23

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Solution

The fourth proportional to 873.64, 1,198.24 and 775.23 is: 1,063.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.64 : 1,198.24 = 775.23 : x
  2. Step 2: Convert to fraction form
    873.64/1,198.24 = 775.23/x
  3. Step 3: Cross multiply
    873.64x = 1,198.24 × 775.23
  4. Step 4: Simplify right side
    873.64x = 928,908.60
  5. Step 5: Solve for x
    x = 928,908.60/873.64
  6. Step 6: Final answer
    x = 1,063.26

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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.