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Finding the Fourth Proportional to 1,764.89, 2,648.59 and 725.84

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Solution

The fourth proportional to 1,764.89, 2,648.59 and 725.84 is: 1,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.89 : 2,648.59 = 725.84 : x
  2. Step 2: Convert to fraction form
    1,764.89/2,648.59 = 725.84/x
  3. Step 3: Cross multiply
    1,764.89x = 2,648.59 × 725.84
  4. Step 4: Simplify right side
    1,764.89x = 1,922,452.57
  5. Step 5: Solve for x
    x = 1,922,452.57/1,764.89
  6. Step 6: Final answer
    x = 1,089.28

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