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Finding the Fourth Proportional to 1,107.63, 1,526.83 and 827.44

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Solution

The fourth proportional to 1,107.63, 1,526.83 and 827.44 is: 1,140.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.63 : 1,526.83 = 827.44 : x
  2. Step 2: Convert to fraction form
    1,107.63/1,526.83 = 827.44/x
  3. Step 3: Cross multiply
    1,107.63x = 1,526.83 × 827.44
  4. Step 4: Simplify right side
    1,107.63x = 1,263,354.33
  5. Step 5: Solve for x
    x = 1,263,354.33/1,107.63
  6. Step 6: Final answer
    x = 1,140.59

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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.