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Finding the Fourth Proportional to 1,116.26, 1,540.39 and 618.82

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Solution

The fourth proportional to 1,116.26, 1,540.39 and 618.82 is: 853.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.26 : 1,540.39 = 618.82 : x
  2. Step 2: Convert to fraction form
    1,116.26/1,540.39 = 618.82/x
  3. Step 3: Cross multiply
    1,116.26x = 1,540.39 × 618.82
  4. Step 4: Simplify right side
    1,116.26x = 953,218.74
  5. Step 5: Solve for x
    x = 953,218.74/1,116.26
  6. Step 6: Final answer
    x = 853.94

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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.