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Finding the Fourth Proportional to 1,283.45, 1,926.39 and 667.60

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Solution

The fourth proportional to 1,283.45, 1,926.39 and 667.60 is: 1,002.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.45 : 1,926.39 = 667.60 : x
  2. Step 2: Convert to fraction form
    1,283.45/1,926.39 = 667.60/x
  3. Step 3: Cross multiply
    1,283.45x = 1,926.39 × 667.60
  4. Step 4: Simplify right side
    1,283.45x = 1,286,044.99
  5. Step 5: Solve for x
    x = 1,286,044.99/1,283.45
  6. Step 6: Final answer
    x = 1,002.03

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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.