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Finding the Fourth Proportional to 787.75, 1,182.17 and 274.75

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Solution

The fourth proportional to 787.75, 1,182.17 and 274.75 is: 412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.75 : 1,182.17 = 274.75 : x
  2. Step 2: Convert to fraction form
    787.75/1,182.17 = 274.75/x
  3. Step 3: Cross multiply
    787.75x = 1,182.17 × 274.75
  4. Step 4: Simplify right side
    787.75x = 324,801.21
  5. Step 5: Solve for x
    x = 324,801.21/787.75
  6. Step 6: Final answer
    x = 412.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.