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Finding the Fourth Proportional to 1,116.17, 1,540.19 and 618.69

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Solution

The fourth proportional to 1,116.17, 1,540.19 and 618.69 is: 853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.17 : 1,540.19 = 618.69 : x
  2. Step 2: Convert to fraction form
    1,116.17/1,540.19 = 618.69/x
  3. Step 3: Cross multiply
    1,116.17x = 1,540.19 × 618.69
  4. Step 4: Simplify right side
    1,116.17x = 952,900.15
  5. Step 5: Solve for x
    x = 952,900.15/1,116.17
  6. Step 6: Final answer
    x = 853.72

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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.