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Finding the Fourth Proportional to 787.83, 1,181.27 and 348.87

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Solution

The fourth proportional to 787.83, 1,181.27 and 348.87 is: 523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.83 : 1,181.27 = 348.87 : x
  2. Step 2: Convert to fraction form
    787.83/1,181.27 = 348.87/x
  3. Step 3: Cross multiply
    787.83x = 1,181.27 × 348.87
  4. Step 4: Simplify right side
    787.83x = 412,103.76
  5. Step 5: Solve for x
    x = 412,103.76/787.83
  6. Step 6: Final answer
    x = 523.09

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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.