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Finding the Fourth Proportional to 1,286.42, 1,929.60 and 738.20

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Solution

The fourth proportional to 1,286.42, 1,929.60 and 738.20 is: 1,107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.42 : 1,929.60 = 738.20 : x
  2. Step 2: Convert to fraction form
    1,286.42/1,929.60 = 738.20/x
  3. Step 3: Cross multiply
    1,286.42x = 1,929.60 × 738.20
  4. Step 4: Simplify right side
    1,286.42x = 1,424,430.72
  5. Step 5: Solve for x
    x = 1,424,430.72/1,286.42
  6. Step 6: Final answer
    x = 1,107.28

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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.