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Finding the Fourth Proportional to 1,773.08, 2,659.46 and 523.76

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Solution

The fourth proportional to 1,773.08, 2,659.46 and 523.76 is: 785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.08 : 2,659.46 = 523.76 : x
  2. Step 2: Convert to fraction form
    1,773.08/2,659.46 = 523.76/x
  3. Step 3: Cross multiply
    1,773.08x = 2,659.46 × 523.76
  4. Step 4: Simplify right side
    1,773.08x = 1,392,902.85
  5. Step 5: Solve for x
    x = 1,392,902.85/1,773.08
  6. Step 6: Final answer
    x = 785.59

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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.