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Finding the Fourth Proportional to 748.71, 1,121.85 and 402.03

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Solution

The fourth proportional to 748.71, 1,121.85 and 402.03 is: 602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.71 : 1,121.85 = 402.03 : x
  2. Step 2: Convert to fraction form
    748.71/1,121.85 = 402.03/x
  3. Step 3: Cross multiply
    748.71x = 1,121.85 × 402.03
  4. Step 4: Simplify right side
    748.71x = 451,017.36
  5. Step 5: Solve for x
    x = 451,017.36/748.71
  6. Step 6: Final answer
    x = 602.39

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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.