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Finding the Fourth Proportional to 1,192.62, 1,787.92 and 828.12

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Solution

The fourth proportional to 1,192.62, 1,787.92 and 828.12 is: 1,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.62 : 1,787.92 = 828.12 : x
  2. Step 2: Convert to fraction form
    1,192.62/1,787.92 = 828.12/x
  3. Step 3: Cross multiply
    1,192.62x = 1,787.92 × 828.12
  4. Step 4: Simplify right side
    1,192.62x = 1,480,612.31
  5. Step 5: Solve for x
    x = 1,480,612.31/1,192.62
  6. Step 6: Final answer
    x = 1,241.48

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1.5x scale

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.