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Finding the Fourth Proportional to 1,116.31, 1,540.74 and 644.26

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Solution

The fourth proportional to 1,116.31, 1,540.74 and 644.26 is: 889.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.31 : 1,540.74 = 644.26 : x
  2. Step 2: Convert to fraction form
    1,116.31/1,540.74 = 644.26/x
  3. Step 3: Cross multiply
    1,116.31x = 1,540.74 × 644.26
  4. Step 4: Simplify right side
    1,116.31x = 992,637.15
  5. Step 5: Solve for x
    x = 992,637.15/1,116.31
  6. Step 6: Final answer
    x = 889.21

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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.