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Finding the Fourth Proportional to 1,005.74, 1,505.90 and 819.88

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Solution

The fourth proportional to 1,005.74, 1,505.90 and 819.88 is: 1,227.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.74 : 1,505.90 = 819.88 : x
  2. Step 2: Convert to fraction form
    1,005.74/1,505.90 = 819.88/x
  3. Step 3: Cross multiply
    1,005.74x = 1,505.90 × 819.88
  4. Step 4: Simplify right side
    1,005.74x = 1,234,657.29
  5. Step 5: Solve for x
    x = 1,234,657.29/1,005.74
  6. Step 6: Final answer
    x = 1,227.61

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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.