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Finding the Fourth Proportional to 1,096.38, 1,645.48 and 576.56

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Solution

The fourth proportional to 1,096.38, 1,645.48 and 576.56 is: 865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.38 : 1,645.48 = 576.56 : x
  2. Step 2: Convert to fraction form
    1,096.38/1,645.48 = 576.56/x
  3. Step 3: Cross multiply
    1,096.38x = 1,645.48 × 576.56
  4. Step 4: Simplify right side
    1,096.38x = 948,717.95
  5. Step 5: Solve for x
    x = 948,717.95/1,096.38
  6. Step 6: Final answer
    x = 865.32

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Why These Related Problems?

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