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Finding the Fourth Proportional to 976.10, 1,347.26 and 644.36

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Solution

The fourth proportional to 976.10, 1,347.26 and 644.36 is: 889.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.10 : 1,347.26 = 644.36 : x
  2. Step 2: Convert to fraction form
    976.10/1,347.26 = 644.36/x
  3. Step 3: Cross multiply
    976.10x = 1,347.26 × 644.36
  4. Step 4: Simplify right side
    976.10x = 868,110.50
  5. Step 5: Solve for x
    x = 868,110.50/976.10
  6. Step 6: Final answer
    x = 889.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.