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Finding the Fourth Proportional to 1,397.28, 2,096.54 and 576.12

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Solution

The fourth proportional to 1,397.28, 2,096.54 and 576.12 is: 864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.28 : 2,096.54 = 576.12 : x
  2. Step 2: Convert to fraction form
    1,397.28/2,096.54 = 576.12/x
  3. Step 3: Cross multiply
    1,397.28x = 2,096.54 × 576.12
  4. Step 4: Simplify right side
    1,397.28x = 1,207,858.62
  5. Step 5: Solve for x
    x = 1,207,858.62/1,397.28
  6. Step 6: Final answer
    x = 864.44

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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.