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Finding the Fourth Proportional to 1,116.37, 1,540.47 and 618.87

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Solution

The fourth proportional to 1,116.37, 1,540.47 and 618.87 is: 853.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.37 : 1,540.47 = 618.87 : x
  2. Step 2: Convert to fraction form
    1,116.37/1,540.47 = 618.87/x
  3. Step 3: Cross multiply
    1,116.37x = 1,540.47 × 618.87
  4. Step 4: Simplify right side
    1,116.37x = 953,351.43
  5. Step 5: Solve for x
    x = 953,351.43/1,116.37
  6. Step 6: Final answer
    x = 853.98

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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.