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Finding the Fourth Proportional to 1,703.73, 2,554.07 and 825.69

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Solution

The fourth proportional to 1,703.73, 2,554.07 and 825.69 is: 1,237.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.73 : 2,554.07 = 825.69 : x
  2. Step 2: Convert to fraction form
    1,703.73/2,554.07 = 825.69/x
  3. Step 3: Cross multiply
    1,703.73x = 2,554.07 × 825.69
  4. Step 4: Simplify right side
    1,703.73x = 2,108,865.93
  5. Step 5: Solve for x
    x = 2,108,865.93/1,703.73
  6. Step 6: Final answer
    x = 1,237.79

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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.