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Finding the Fourth Proportional to 1,116.44, 1,540.69 and 619.11

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Solution

The fourth proportional to 1,116.44, 1,540.69 and 619.11 is: 854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.44 : 1,540.69 = 619.11 : x
  2. Step 2: Convert to fraction form
    1,116.44/1,540.69 = 619.11/x
  3. Step 3: Cross multiply
    1,116.44x = 1,540.69 × 619.11
  4. Step 4: Simplify right side
    1,116.44x = 953,856.59
  5. Step 5: Solve for x
    x = 953,856.59/1,116.44
  6. Step 6: Final answer
    x = 854.37

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Why These Related Problems?

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