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Finding the Fourth Proportional to 1,311.82, 1,809.56 and 787.54

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Solution

The fourth proportional to 1,311.82, 1,809.56 and 787.54 is: 1,086.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.82 : 1,809.56 = 787.54 : x
  2. Step 2: Convert to fraction form
    1,311.82/1,809.56 = 787.54/x
  3. Step 3: Cross multiply
    1,311.82x = 1,809.56 × 787.54
  4. Step 4: Simplify right side
    1,311.82x = 1,425,100.88
  5. Step 5: Solve for x
    x = 1,425,100.88/1,311.82
  6. Step 6: Final answer
    x = 1,086.35

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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.