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Finding the Fourth Proportional to 1,349.78, 2,023.02 and 764.51

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Solution

The fourth proportional to 1,349.78, 2,023.02 and 764.51 is: 1,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.78 : 2,023.02 = 764.51 : x
  2. Step 2: Convert to fraction form
    1,349.78/2,023.02 = 764.51/x
  3. Step 3: Cross multiply
    1,349.78x = 2,023.02 × 764.51
  4. Step 4: Simplify right side
    1,349.78x = 1,546,608.91
  5. Step 5: Solve for x
    x = 1,546,608.91/1,349.78
  6. Step 6: Final answer
    x = 1,145.83

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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.