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Finding the Fourth Proportional to 862.70, 1,294.50 and 816.23

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Solution

The fourth proportional to 862.70, 1,294.50 and 816.23 is: 1,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.70 : 1,294.50 = 816.23 : x
  2. Step 2: Convert to fraction form
    862.70/1,294.50 = 816.23/x
  3. Step 3: Cross multiply
    862.70x = 1,294.50 × 816.23
  4. Step 4: Simplify right side
    862.70x = 1,056,609.74
  5. Step 5: Solve for x
    x = 1,056,609.74/862.70
  6. Step 6: Final answer
    x = 1,224.77

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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.