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Finding the Fourth Proportional to 787.80, 1,180.82 and 349.14

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Solution

The fourth proportional to 787.80, 1,180.82 and 349.14 is: 523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.80 : 1,180.82 = 349.14 : x
  2. Step 2: Convert to fraction form
    787.80/1,180.82 = 349.14/x
  3. Step 3: Cross multiply
    787.80x = 1,180.82 × 349.14
  4. Step 4: Simplify right side
    787.80x = 412,271.49
  5. Step 5: Solve for x
    x = 412,271.49/787.80
  6. Step 6: Final answer
    x = 523.32

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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.