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Finding the Fourth Proportional to 787.45, 1,181.16 and 267.45

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Solution

The fourth proportional to 787.45, 1,181.16 and 267.45 is: 401.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.45 : 1,181.16 = 267.45 : x
  2. Step 2: Convert to fraction form
    787.45/1,181.16 = 267.45/x
  3. Step 3: Cross multiply
    787.45x = 1,181.16 × 267.45
  4. Step 4: Simplify right side
    787.45x = 315,901.24
  5. Step 5: Solve for x
    x = 315,901.24/787.45
  6. Step 6: Final answer
    x = 401.17

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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.