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Finding the Fourth Proportional to 1,164.78, 1,604.21 and 869.54

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Solution

The fourth proportional to 1,164.78, 1,604.21 and 869.54 is: 1,197.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.78 : 1,604.21 = 869.54 : x
  2. Step 2: Convert to fraction form
    1,164.78/1,604.21 = 869.54/x
  3. Step 3: Cross multiply
    1,164.78x = 1,604.21 × 869.54
  4. Step 4: Simplify right side
    1,164.78x = 1,394,912.39
  5. Step 5: Solve for x
    x = 1,394,912.39/1,164.78
  6. Step 6: Final answer
    x = 1,197.58

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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.