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Finding the Fourth Proportional to 1,405.22, 2,105.12 and 787.04

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Solution

The fourth proportional to 1,405.22, 2,105.12 and 787.04 is: 1,179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.22 : 2,105.12 = 787.04 : x
  2. Step 2: Convert to fraction form
    1,405.22/2,105.12 = 787.04/x
  3. Step 3: Cross multiply
    1,405.22x = 2,105.12 × 787.04
  4. Step 4: Simplify right side
    1,405.22x = 1,656,813.64
  5. Step 5: Solve for x
    x = 1,656,813.64/1,405.22
  6. Step 6: Final answer
    x = 1,179.04

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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.