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Finding the Fourth Proportional to 1,104.61, 1,659.75 and 833.26

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Solution

The fourth proportional to 1,104.61, 1,659.75 and 833.26 is: 1,252.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.61 : 1,659.75 = 833.26 : x
  2. Step 2: Convert to fraction form
    1,104.61/1,659.75 = 833.26/x
  3. Step 3: Cross multiply
    1,104.61x = 1,659.75 × 833.26
  4. Step 4: Simplify right side
    1,104.61x = 1,383,003.29
  5. Step 5: Solve for x
    x = 1,383,003.29/1,104.61
  6. Step 6: Final answer
    x = 1,252.03

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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.