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Finding the Fourth Proportional to 787.78, 1,182.10 and 267.94

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Solution

The fourth proportional to 787.78, 1,182.10 and 267.94 is: 402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.78 : 1,182.10 = 267.94 : x
  2. Step 2: Convert to fraction form
    787.78/1,182.10 = 267.94/x
  3. Step 3: Cross multiply
    787.78x = 1,182.10 × 267.94
  4. Step 4: Simplify right side
    787.78x = 316,731.87
  5. Step 5: Solve for x
    x = 316,731.87/787.78
  6. Step 6: Final answer
    x = 402.06

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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.