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Finding the Fourth Proportional to 1,768.76, 2,654.58 and 743.48

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Solution

The fourth proportional to 1,768.76, 2,654.58 and 743.48 is: 1,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,768.76 : 2,654.58 = 743.48 : x
  2. Step 2: Convert to fraction form
    1,768.76/2,654.58 = 743.48/x
  3. Step 3: Cross multiply
    1,768.76x = 2,654.58 × 743.48
  4. Step 4: Simplify right side
    1,768.76x = 1,973,627.14
  5. Step 5: Solve for x
    x = 1,973,627.14/1,768.76
  6. Step 6: Final answer
    x = 1,115.83

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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.