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Finding the Fourth Proportional to 1,349.22, 2,023.83 and 771.69

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Solution

The fourth proportional to 1,349.22, 2,023.83 and 771.69 is: 1,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.22 : 2,023.83 = 771.69 : x
  2. Step 2: Convert to fraction form
    1,349.22/2,023.83 = 771.69/x
  3. Step 3: Cross multiply
    1,349.22x = 2,023.83 × 771.69
  4. Step 4: Simplify right side
    1,349.22x = 1,561,765.51
  5. Step 5: Solve for x
    x = 1,561,765.51/1,349.22
  6. Step 6: Final answer
    x = 1,157.53

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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.