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Finding the Fourth Proportional to 1,286.57, 1,929.87 and 464.27

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Solution

The fourth proportional to 1,286.57, 1,929.87 and 464.27 is: 696.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.57 : 1,929.87 = 464.27 : x
  2. Step 2: Convert to fraction form
    1,286.57/1,929.87 = 464.27/x
  3. Step 3: Cross multiply
    1,286.57x = 1,929.87 × 464.27
  4. Step 4: Simplify right side
    1,286.57x = 895,971.10
  5. Step 5: Solve for x
    x = 895,971.10/1,286.57
  6. Step 6: Final answer
    x = 696.41

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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.