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Finding the Fourth Proportional to 1,023.22, 1,537.67 and 819.91

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Solution

The fourth proportional to 1,023.22, 1,537.67 and 819.91 is: 1,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.22 : 1,537.67 = 819.91 : x
  2. Step 2: Convert to fraction form
    1,023.22/1,537.67 = 819.91/x
  3. Step 3: Cross multiply
    1,023.22x = 1,537.67 × 819.91
  4. Step 4: Simplify right side
    1,023.22x = 1,260,751.01
  5. Step 5: Solve for x
    x = 1,260,751.01/1,023.22
  6. Step 6: Final answer
    x = 1,232.14

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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.