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Finding the Fourth Proportional to 787.70, 1,181.27 and 325.26

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Solution

The fourth proportional to 787.70, 1,181.27 and 325.26 is: 487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.70 : 1,181.27 = 325.26 : x
  2. Step 2: Convert to fraction form
    787.70/1,181.27 = 325.26/x
  3. Step 3: Cross multiply
    787.70x = 1,181.27 × 325.26
  4. Step 4: Simplify right side
    787.70x = 384,218.25
  5. Step 5: Solve for x
    x = 384,218.25/787.70
  6. Step 6: Final answer
    x = 487.78

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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.