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Finding the Fourth Proportional to 787.82, 1,181.71 and 239.98

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Solution

The fourth proportional to 787.82, 1,181.71 and 239.98 is: 359.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.82 : 1,181.71 = 239.98 : x
  2. Step 2: Convert to fraction form
    787.82/1,181.71 = 239.98/x
  3. Step 3: Cross multiply
    787.82x = 1,181.71 × 239.98
  4. Step 4: Simplify right side
    787.82x = 283,586.77
  5. Step 5: Solve for x
    x = 283,586.77/787.82
  6. Step 6: Final answer
    x = 359.96

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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.