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Finding the Fourth Proportional to 1,116.25, 1,540.52 and 650.59

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Solution

The fourth proportional to 1,116.25, 1,540.52 and 650.59 is: 897.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.25 : 1,540.52 = 650.59 : x
  2. Step 2: Convert to fraction form
    1,116.25/1,540.52 = 650.59/x
  3. Step 3: Cross multiply
    1,116.25x = 1,540.52 × 650.59
  4. Step 4: Simplify right side
    1,116.25x = 1,002,246.91
  5. Step 5: Solve for x
    x = 1,002,246.91/1,116.25
  6. Step 6: Final answer
    x = 897.87

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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.