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Finding the Fourth Proportional to 727.58, 1,093.19 and 683.84

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Solution

The fourth proportional to 727.58, 1,093.19 and 683.84 is: 1,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    727.58 : 1,093.19 = 683.84 : x
  2. Step 2: Convert to fraction form
    727.58/1,093.19 = 683.84/x
  3. Step 3: Cross multiply
    727.58x = 1,093.19 × 683.84
  4. Step 4: Simplify right side
    727.58x = 747,562.10
  5. Step 5: Solve for x
    x = 747,562.10/727.58
  6. Step 6: Final answer
    x = 1,027.47

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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.