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Finding the Fourth Proportional to 1,116.72, 1,540.91 and 644.43

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Solution

The fourth proportional to 1,116.72, 1,540.91 and 644.43 is: 889.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.72 : 1,540.91 = 644.43 : x
  2. Step 2: Convert to fraction form
    1,116.72/1,540.91 = 644.43/x
  3. Step 3: Cross multiply
    1,116.72x = 1,540.91 × 644.43
  4. Step 4: Simplify right side
    1,116.72x = 993,005.41
  5. Step 5: Solve for x
    x = 993,005.41/1,116.72
  6. Step 6: Final answer
    x = 889.22

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