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Finding the Fourth Proportional to 748.48, 1,123.10 and 419.21

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Solution

The fourth proportional to 748.48, 1,123.10 and 419.21 is: 629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.48 : 1,123.10 = 419.21 : x
  2. Step 2: Convert to fraction form
    748.48/1,123.10 = 419.21/x
  3. Step 3: Cross multiply
    748.48x = 1,123.10 × 419.21
  4. Step 4: Simplify right side
    748.48x = 470,819.33
  5. Step 5: Solve for x
    x = 470,819.33/748.48
  6. Step 6: Final answer
    x = 629.04

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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.