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Finding the Fourth Proportional to 1,116.02, 1,540.13 and 618.71

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Solution

The fourth proportional to 1,116.02, 1,540.13 and 618.71 is: 853.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.02 : 1,540.13 = 618.71 : x
  2. Step 2: Convert to fraction form
    1,116.02/1,540.13 = 618.71/x
  3. Step 3: Cross multiply
    1,116.02x = 1,540.13 × 618.71
  4. Step 4: Simplify right side
    1,116.02x = 952,883.04
  5. Step 5: Solve for x
    x = 952,883.04/1,116.02
  6. Step 6: Final answer
    x = 853.82

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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.