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Finding the Fourth Proportional to 1,103.88, 1,654.92 and 829.44

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Solution

The fourth proportional to 1,103.88, 1,654.92 and 829.44 is: 1,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.88 : 1,654.92 = 829.44 : x
  2. Step 2: Convert to fraction form
    1,103.88/1,654.92 = 829.44/x
  3. Step 3: Cross multiply
    1,103.88x = 1,654.92 × 829.44
  4. Step 4: Simplify right side
    1,103.88x = 1,372,656.84
  5. Step 5: Solve for x
    x = 1,372,656.84/1,103.88
  6. Step 6: Final answer
    x = 1,243.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.