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Finding the Fourth Proportional to 1,116.94, 1,541.29 and 644.84

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Solution

The fourth proportional to 1,116.94, 1,541.29 and 644.84 is: 889.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.94 : 1,541.29 = 644.84 : x
  2. Step 2: Convert to fraction form
    1,116.94/1,541.29 = 644.84/x
  3. Step 3: Cross multiply
    1,116.94x = 1,541.29 × 644.84
  4. Step 4: Simplify right side
    1,116.94x = 993,885.44
  5. Step 5: Solve for x
    x = 993,885.44/1,116.94
  6. Step 6: Final answer
    x = 889.83

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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.