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Finding the Fourth Proportional to 1,096.67, 1,513.49 and 618.09

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Solution

The fourth proportional to 1,096.67, 1,513.49 and 618.09 is: 853.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.67 : 1,513.49 = 618.09 : x
  2. Step 2: Convert to fraction form
    1,096.67/1,513.49 = 618.09/x
  3. Step 3: Cross multiply
    1,096.67x = 1,513.49 × 618.09
  4. Step 4: Simplify right side
    1,096.67x = 935,473.03
  5. Step 5: Solve for x
    x = 935,473.03/1,096.67
  6. Step 6: Final answer
    x = 853.01

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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.