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Finding the Fourth Proportional to 1,396.57, 1,928.17 and 866.02

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Solution

The fourth proportional to 1,396.57, 1,928.17 and 866.02 is: 1,195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.57 : 1,928.17 = 866.02 : x
  2. Step 2: Convert to fraction form
    1,396.57/1,928.17 = 866.02/x
  3. Step 3: Cross multiply
    1,396.57x = 1,928.17 × 866.02
  4. Step 4: Simplify right side
    1,396.57x = 1,669,830.05
  5. Step 5: Solve for x
    x = 1,669,830.05/1,396.57
  6. Step 6: Final answer
    x = 1,195.66

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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.