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Finding the Fourth Proportional to 856.82, 1,283.20 and 672.96

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Solution

The fourth proportional to 856.82, 1,283.20 and 672.96 is: 1,007.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.82 : 1,283.20 = 672.96 : x
  2. Step 2: Convert to fraction form
    856.82/1,283.20 = 672.96/x
  3. Step 3: Cross multiply
    856.82x = 1,283.20 × 672.96
  4. Step 4: Simplify right side
    856.82x = 863,542.27
  5. Step 5: Solve for x
    x = 863,542.27/856.82
  6. Step 6: Final answer
    x = 1,007.85

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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.