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Finding the Fourth Proportional to 1,397.27, 2,096.50 and 472.92

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Solution

The fourth proportional to 1,397.27, 2,096.50 and 472.92 is: 709.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.27 : 2,096.50 = 472.92 : x
  2. Step 2: Convert to fraction form
    1,397.27/2,096.50 = 472.92/x
  3. Step 3: Cross multiply
    1,397.27x = 2,096.50 × 472.92
  4. Step 4: Simplify right side
    1,397.27x = 991,480.42
  5. Step 5: Solve for x
    x = 991,480.42/1,397.27
  6. Step 6: Final answer
    x = 709.59

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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.