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Finding the Fourth Proportional to 787.44, 1,180.98 and 239.52

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Solution

The fourth proportional to 787.44, 1,180.98 and 239.52 is: 359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.44 : 1,180.98 = 239.52 : x
  2. Step 2: Convert to fraction form
    787.44/1,180.98 = 239.52/x
  3. Step 3: Cross multiply
    787.44x = 1,180.98 × 239.52
  4. Step 4: Simplify right side
    787.44x = 282,868.33
  5. Step 5: Solve for x
    x = 282,868.33/787.44
  6. Step 6: Final answer
    x = 359.23

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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.