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Finding the Fourth Proportional to 787.27, 1,086.73 and 676.30

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Solution

The fourth proportional to 787.27, 1,086.73 and 676.30 is: 933.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.27 : 1,086.73 = 676.30 : x
  2. Step 2: Convert to fraction form
    787.27/1,086.73 = 676.30/x
  3. Step 3: Cross multiply
    787.27x = 1,086.73 × 676.30
  4. Step 4: Simplify right side
    787.27x = 734,955.50
  5. Step 5: Solve for x
    x = 734,955.50/787.27
  6. Step 6: Final answer
    x = 933.55

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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.