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Finding the Fourth Proportional to 1,404.26, 2,105.67 and 526.73

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Solution

The fourth proportional to 1,404.26, 2,105.67 and 526.73 is: 789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.26 : 2,105.67 = 526.73 : x
  2. Step 2: Convert to fraction form
    1,404.26/2,105.67 = 526.73/x
  3. Step 3: Cross multiply
    1,404.26x = 2,105.67 × 526.73
  4. Step 4: Simplify right side
    1,404.26x = 1,109,119.56
  5. Step 5: Solve for x
    x = 1,109,119.56/1,404.26
  6. Step 6: Final answer
    x = 789.82

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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.