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Finding the Fourth Proportional to 787.37, 1,180.31 and 376.29

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Solution

The fourth proportional to 787.37, 1,180.31 and 376.29 is: 564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.37 : 1,180.31 = 376.29 : x
  2. Step 2: Convert to fraction form
    787.37/1,180.31 = 376.29/x
  3. Step 3: Cross multiply
    787.37x = 1,180.31 × 376.29
  4. Step 4: Simplify right side
    787.37x = 444,136.97
  5. Step 5: Solve for x
    x = 444,136.97/787.37
  6. Step 6: Final answer
    x = 564.08

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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.