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Finding the Fourth Proportional to 787.78, 1,180.46 and 582.04

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Solution

The fourth proportional to 787.78, 1,180.46 and 582.04 is: 872.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.78 : 1,180.46 = 582.04 : x
  2. Step 2: Convert to fraction form
    787.78/1,180.46 = 582.04/x
  3. Step 3: Cross multiply
    787.78x = 1,180.46 × 582.04
  4. Step 4: Simplify right side
    787.78x = 687,072.03
  5. Step 5: Solve for x
    x = 687,072.03/787.78
  6. Step 6: Final answer
    x = 872.16

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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.