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Finding the Fourth Proportional to 787.86, 1,181.96 and 300.91

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Solution

The fourth proportional to 787.86, 1,181.96 and 300.91 is: 451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.86 : 1,181.96 = 300.91 : x
  2. Step 2: Convert to fraction form
    787.86/1,181.96 = 300.91/x
  3. Step 3: Cross multiply
    787.86x = 1,181.96 × 300.91
  4. Step 4: Simplify right side
    787.86x = 355,663.58
  5. Step 5: Solve for x
    x = 355,663.58/787.86
  6. Step 6: Final answer
    x = 451.43

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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.