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Finding the Fourth Proportional to 1,366.36, 2,046.27 and 787.48

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Solution

The fourth proportional to 1,366.36, 2,046.27 and 787.48 is: 1,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.36 : 2,046.27 = 787.48 : x
  2. Step 2: Convert to fraction form
    1,366.36/2,046.27 = 787.48/x
  3. Step 3: Cross multiply
    1,366.36x = 2,046.27 × 787.48
  4. Step 4: Simplify right side
    1,366.36x = 1,611,396.70
  5. Step 5: Solve for x
    x = 1,611,396.70/1,366.36
  6. Step 6: Final answer
    x = 1,179.34

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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.