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Finding the Fourth Proportional to 1,769.54, 2,654.44 and 520.22

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Solution

The fourth proportional to 1,769.54, 2,654.44 and 520.22 is: 780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.54 : 2,654.44 = 520.22 : x
  2. Step 2: Convert to fraction form
    1,769.54/2,654.44 = 520.22/x
  3. Step 3: Cross multiply
    1,769.54x = 2,654.44 × 520.22
  4. Step 4: Simplify right side
    1,769.54x = 1,380,898.11
  5. Step 5: Solve for x
    x = 1,380,898.11/1,769.54
  6. Step 6: Final answer
    x = 780.37

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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.