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Finding the Fourth Proportional to 787.35, 1,086.52 and 455.77

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Solution

The fourth proportional to 787.35, 1,086.52 and 455.77 is: 628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.35 : 1,086.52 = 455.77 : x
  2. Step 2: Convert to fraction form
    787.35/1,086.52 = 455.77/x
  3. Step 3: Cross multiply
    787.35x = 1,086.52 × 455.77
  4. Step 4: Simplify right side
    787.35x = 495,203.22
  5. Step 5: Solve for x
    x = 495,203.22/787.35
  6. Step 6: Final answer
    x = 628.95

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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.