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Finding the Fourth Proportional to 1,052.74, 1,453.92 and 819.50

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Solution

The fourth proportional to 1,052.74, 1,453.92 and 819.50 is: 1,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.74 : 1,453.92 = 819.50 : x
  2. Step 2: Convert to fraction form
    1,052.74/1,453.92 = 819.50/x
  3. Step 3: Cross multiply
    1,052.74x = 1,453.92 × 819.50
  4. Step 4: Simplify right side
    1,052.74x = 1,191,487.44
  5. Step 5: Solve for x
    x = 1,191,487.44/1,052.74
  6. Step 6: Final answer
    x = 1,131.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.