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Finding the Fourth Proportional to 787.34, 1,181.01 and 267.40

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Solution

The fourth proportional to 787.34, 1,181.01 and 267.40 is: 401.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.34 : 1,181.01 = 267.40 : x
  2. Step 2: Convert to fraction form
    787.34/1,181.01 = 267.40/x
  3. Step 3: Cross multiply
    787.34x = 1,181.01 × 267.40
  4. Step 4: Simplify right side
    787.34x = 315,796.17
  5. Step 5: Solve for x
    x = 315,796.17/787.34
  6. Step 6: Final answer
    x = 401.09

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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.