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Finding the Fourth Proportional to 865.72, 1,296.30 and 683.48

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Solution

The fourth proportional to 865.72, 1,296.30 and 683.48 is: 1,023.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.72 : 1,296.30 = 683.48 : x
  2. Step 2: Convert to fraction form
    865.72/1,296.30 = 683.48/x
  3. Step 3: Cross multiply
    865.72x = 1,296.30 × 683.48
  4. Step 4: Simplify right side
    865.72x = 885,995.12
  5. Step 5: Solve for x
    x = 885,995.12/865.72
  6. Step 6: Final answer
    x = 1,023.42

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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.