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Finding the Fourth Proportional to 1,397.23, 2,096.08 and 472.85

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Solution

The fourth proportional to 1,397.23, 2,096.08 and 472.85 is: 709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.23 : 2,096.08 = 472.85 : x
  2. Step 2: Convert to fraction form
    1,397.23/2,096.08 = 472.85/x
  3. Step 3: Cross multiply
    1,397.23x = 2,096.08 × 472.85
  4. Step 4: Simplify right side
    1,397.23x = 991,131.43
  5. Step 5: Solve for x
    x = 991,131.43/1,397.23
  6. Step 6: Final answer
    x = 709.35

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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.