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Finding the Fourth Proportional to 856.99, 1,284.24 and 682.87

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Solution

The fourth proportional to 856.99, 1,284.24 and 682.87 is: 1,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.99 : 1,284.24 = 682.87 : x
  2. Step 2: Convert to fraction form
    856.99/1,284.24 = 682.87/x
  3. Step 3: Cross multiply
    856.99x = 1,284.24 × 682.87
  4. Step 4: Simplify right side
    856.99x = 876,968.97
  5. Step 5: Solve for x
    x = 876,968.97/856.99
  6. Step 6: Final answer
    x = 1,023.31

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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.