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Finding the Fourth Proportional to 1,384.82, 1,910.72 and 787.18

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Solution

The fourth proportional to 1,384.82, 1,910.72 and 787.18 is: 1,086.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.82 : 1,910.72 = 787.18 : x
  2. Step 2: Convert to fraction form
    1,384.82/1,910.72 = 787.18/x
  3. Step 3: Cross multiply
    1,384.82x = 1,910.72 × 787.18
  4. Step 4: Simplify right side
    1,384.82x = 1,504,080.57
  5. Step 5: Solve for x
    x = 1,504,080.57/1,384.82
  6. Step 6: Final answer
    x = 1,086.12

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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.