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Finding the Fourth Proportional to 856.71, 1,282.77 and 682.56

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Solution

The fourth proportional to 856.71, 1,282.77 and 682.56 is: 1,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.71 : 1,282.77 = 682.56 : x
  2. Step 2: Convert to fraction form
    856.71/1,282.77 = 682.56/x
  3. Step 3: Cross multiply
    856.71x = 1,282.77 × 682.56
  4. Step 4: Simplify right side
    856.71x = 875,567.49
  5. Step 5: Solve for x
    x = 875,567.49/856.71
  6. Step 6: Final answer
    x = 1,022.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.