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Finding the Fourth Proportional to 1,398, 2,096.92 and 576.08

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Solution

The fourth proportional to 1,398, 2,096.92 and 576.08 is: 864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398 : 2,096.92 = 576.08 : x
  2. Step 2: Convert to fraction form
    1,398/2,096.92 = 576.08/x
  3. Step 3: Cross multiply
    1,398x = 2,096.92 × 576.08
  4. Step 4: Simplify right side
    1,398x = 1,207,993.67
  5. Step 5: Solve for x
    x = 1,207,993.67/1,398
  6. Step 6: Final answer
    x = 864.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.