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Finding the Fourth Proportional to 1,116.41, 1,540.37 and 723.35

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Solution

The fourth proportional to 1,116.41, 1,540.37 and 723.35 is: 998.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.41 : 1,540.37 = 723.35 : x
  2. Step 2: Convert to fraction form
    1,116.41/1,540.37 = 723.35/x
  3. Step 3: Cross multiply
    1,116.41x = 1,540.37 × 723.35
  4. Step 4: Simplify right side
    1,116.41x = 1,114,232.30
  5. Step 5: Solve for x
    x = 1,114,232.30/1,116.41
  6. Step 6: Final answer
    x = 998.05

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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.