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Finding the Fourth Proportional to 1,196.30, 1,792.08 and 921.44

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Solution

The fourth proportional to 1,196.30, 1,792.08 and 921.44 is: 1,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.30 : 1,792.08 = 921.44 : x
  2. Step 2: Convert to fraction form
    1,196.30/1,792.08 = 921.44/x
  3. Step 3: Cross multiply
    1,196.30x = 1,792.08 × 921.44
  4. Step 4: Simplify right side
    1,196.30x = 1,651,294.20
  5. Step 5: Solve for x
    x = 1,651,294.20/1,196.30
  6. Step 6: Final answer
    x = 1,380.33

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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.