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Finding the Fourth Proportional to 1,548.96, 2,324.79 and 819.06

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Solution

The fourth proportional to 1,548.96, 2,324.79 and 819.06 is: 1,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.96 : 2,324.79 = 819.06 : x
  2. Step 2: Convert to fraction form
    1,548.96/2,324.79 = 819.06/x
  3. Step 3: Cross multiply
    1,548.96x = 2,324.79 × 819.06
  4. Step 4: Simplify right side
    1,548.96x = 1,904,142.50
  5. Step 5: Solve for x
    x = 1,904,142.50/1,548.96
  6. Step 6: Final answer
    x = 1,229.30

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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.