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Finding the Fourth Proportional to 1,764.94, 2,645.33 and 724.43

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Solution

The fourth proportional to 1,764.94, 2,645.33 and 724.43 is: 1,085.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.94 : 2,645.33 = 724.43 : x
  2. Step 2: Convert to fraction form
    1,764.94/2,645.33 = 724.43/x
  3. Step 3: Cross multiply
    1,764.94x = 2,645.33 × 724.43
  4. Step 4: Simplify right side
    1,764.94x = 1,916,348.60
  5. Step 5: Solve for x
    x = 1,916,348.60/1,764.94
  6. Step 6: Final answer
    x = 1,085.79

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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.