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Finding the Fourth Proportional to 787.73, 1,181.00 and 397.42

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Solution

The fourth proportional to 787.73, 1,181.00 and 397.42 is: 595.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.73 : 1,181.00 = 397.42 : x
  2. Step 2: Convert to fraction form
    787.73/1,181.00 = 397.42/x
  3. Step 3: Cross multiply
    787.73x = 1,181.00 × 397.42
  4. Step 4: Simplify right side
    787.73x = 469,355.47
  5. Step 5: Solve for x
    x = 469,355.47/787.73
  6. Step 6: Final answer
    x = 595.84

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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.