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Finding the Fourth Proportional to 1,289.26, 1,933.80 and 467.38

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Solution

The fourth proportional to 1,289.26, 1,933.80 and 467.38 is: 701.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.26 : 1,933.80 = 467.38 : x
  2. Step 2: Convert to fraction form
    1,289.26/1,933.80 = 467.38/x
  3. Step 3: Cross multiply
    1,289.26x = 1,933.80 × 467.38
  4. Step 4: Simplify right side
    1,289.26x = 903,819.44
  5. Step 5: Solve for x
    x = 903,819.44/1,289.26
  6. Step 6: Final answer
    x = 701.04

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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.