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Finding the Fourth Proportional to 1,023.48, 1,538.19 and 851.22

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Solution

The fourth proportional to 1,023.48, 1,538.19 and 851.22 is: 1,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.48 : 1,538.19 = 851.22 : x
  2. Step 2: Convert to fraction form
    1,023.48/1,538.19 = 851.22/x
  3. Step 3: Cross multiply
    1,023.48x = 1,538.19 × 851.22
  4. Step 4: Simplify right side
    1,023.48x = 1,309,338.09
  5. Step 5: Solve for x
    x = 1,309,338.09/1,023.48
  6. Step 6: Final answer
    x = 1,279.30

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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.