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Finding the Fourth Proportional to 1,286.94, 1,929.08 and 506.62

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Solution

The fourth proportional to 1,286.94, 1,929.08 and 506.62 is: 759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.94 : 1,929.08 = 506.62 : x
  2. Step 2: Convert to fraction form
    1,286.94/1,929.08 = 506.62/x
  3. Step 3: Cross multiply
    1,286.94x = 1,929.08 × 506.62
  4. Step 4: Simplify right side
    1,286.94x = 977,314.19
  5. Step 5: Solve for x
    x = 977,314.19/1,286.94
  6. Step 6: Final answer
    x = 759.41

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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.