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Finding the Fourth Proportional to 1,027.92, 1,539.76 and 764.88

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Solution

The fourth proportional to 1,027.92, 1,539.76 and 764.88 is: 1,145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.92 : 1,539.76 = 764.88 : x
  2. Step 2: Convert to fraction form
    1,027.92/1,539.76 = 764.88/x
  3. Step 3: Cross multiply
    1,027.92x = 1,539.76 × 764.88
  4. Step 4: Simplify right side
    1,027.92x = 1,177,731.63
  5. Step 5: Solve for x
    x = 1,177,731.63/1,027.92
  6. Step 6: Final answer
    x = 1,145.74

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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.