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Finding the Fourth Proportional to 1,196.83, 1,791.60 and 951.40

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Solution

The fourth proportional to 1,196.83, 1,791.60 and 951.40 is: 1,424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.83 : 1,791.60 = 951.40 : x
  2. Step 2: Convert to fraction form
    1,196.83/1,791.60 = 951.40/x
  3. Step 3: Cross multiply
    1,196.83x = 1,791.60 × 951.40
  4. Step 4: Simplify right side
    1,196.83x = 1,704,528.24
  5. Step 5: Solve for x
    x = 1,704,528.24/1,196.83
  6. Step 6: Final answer
    x = 1,424.20

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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.