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Finding the Fourth Proportional to 787.44, 1,086.71 and 455.88

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Solution

The fourth proportional to 787.44, 1,086.71 and 455.88 is: 629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.44 : 1,086.71 = 455.88 : x
  2. Step 2: Convert to fraction form
    787.44/1,086.71 = 455.88/x
  3. Step 3: Cross multiply
    787.44x = 1,086.71 × 455.88
  4. Step 4: Simplify right side
    787.44x = 495,409.35
  5. Step 5: Solve for x
    x = 495,409.35/787.44
  6. Step 6: Final answer
    x = 629.14

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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.