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Finding the Fourth Proportional to 856.73, 1,183.14 and 646.56

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Solution

The fourth proportional to 856.73, 1,183.14 and 646.56 is: 892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.73 : 1,183.14 = 646.56 : x
  2. Step 2: Convert to fraction form
    856.73/1,183.14 = 646.56/x
  3. Step 3: Cross multiply
    856.73x = 1,183.14 × 646.56
  4. Step 4: Simplify right side
    856.73x = 764,971.00
  5. Step 5: Solve for x
    x = 764,971.00/856.73
  6. Step 6: Final answer
    x = 892.90

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Why These Related Problems?

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