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Finding the Fourth Proportional to 1,283.50, 1,771.23 and 759.97

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Solution

The fourth proportional to 1,283.50, 1,771.23 and 759.97 is: 1,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.50 : 1,771.23 = 759.97 : x
  2. Step 2: Convert to fraction form
    1,283.50/1,771.23 = 759.97/x
  3. Step 3: Cross multiply
    1,283.50x = 1,771.23 × 759.97
  4. Step 4: Simplify right side
    1,283.50x = 1,346,081.66
  5. Step 5: Solve for x
    x = 1,346,081.66/1,283.50
  6. Step 6: Final answer
    x = 1,048.76

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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.