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Finding the Fourth Proportional to 1,027.91, 1,419.73 and 695.76

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Solution

The fourth proportional to 1,027.91, 1,419.73 and 695.76 is: 960.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.91 : 1,419.73 = 695.76 : x
  2. Step 2: Convert to fraction form
    1,027.91/1,419.73 = 695.76/x
  3. Step 3: Cross multiply
    1,027.91x = 1,419.73 × 695.76
  4. Step 4: Simplify right side
    1,027.91x = 987,780.77
  5. Step 5: Solve for x
    x = 987,780.77/1,027.91
  6. Step 6: Final answer
    x = 960.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.