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Finding the Fourth Proportional to 1,289.10, 1,933.43 and 364.44

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Solution

The fourth proportional to 1,289.10, 1,933.43 and 364.44 is: 546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.10 : 1,933.43 = 364.44 : x
  2. Step 2: Convert to fraction form
    1,289.10/1,933.43 = 364.44/x
  3. Step 3: Cross multiply
    1,289.10x = 1,933.43 × 364.44
  4. Step 4: Simplify right side
    1,289.10x = 704,624.66
  5. Step 5: Solve for x
    x = 704,624.66/1,289.10
  6. Step 6: Final answer
    x = 546.60

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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.