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Finding the Fourth Proportional to 1,196.53, 1,651.44 and 866.50

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Solution

The fourth proportional to 1,196.53, 1,651.44 and 866.50 is: 1,195.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.53 : 1,651.44 = 866.50 : x
  2. Step 2: Convert to fraction form
    1,196.53/1,651.44 = 866.50/x
  3. Step 3: Cross multiply
    1,196.53x = 1,651.44 × 866.50
  4. Step 4: Simplify right side
    1,196.53x = 1,430,972.76
  5. Step 5: Solve for x
    x = 1,430,972.76/1,196.53
  6. Step 6: Final answer
    x = 1,195.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.