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Finding the Fourth Proportional to 1,116.06, 1,540.02 and 673.80

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Solution

The fourth proportional to 1,116.06, 1,540.02 and 673.80 is: 929.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.06 : 1,540.02 = 673.80 : x
  2. Step 2: Convert to fraction form
    1,116.06/1,540.02 = 673.80/x
  3. Step 3: Cross multiply
    1,116.06x = 1,540.02 × 673.80
  4. Step 4: Simplify right side
    1,116.06x = 1,037,665.48
  5. Step 5: Solve for x
    x = 1,037,665.48/1,116.06
  6. Step 6: Final answer
    x = 929.76

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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.