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Finding the Fourth Proportional to 862.79, 1,196.78 and 833.29

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Solution

The fourth proportional to 862.79, 1,196.78 and 833.29 is: 1,155.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.79 : 1,196.78 = 833.29 : x
  2. Step 2: Convert to fraction form
    862.79/1,196.78 = 833.29/x
  3. Step 3: Cross multiply
    862.79x = 1,196.78 × 833.29
  4. Step 4: Simplify right side
    862.79x = 997,257.65
  5. Step 5: Solve for x
    x = 997,257.65/862.79
  6. Step 6: Final answer
    x = 1,155.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.