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Finding the Fourth Proportional to 748.13, 1,121.86 and 401.41

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Solution

The fourth proportional to 748.13, 1,121.86 and 401.41 is: 601.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.13 : 1,121.86 = 401.41 : x
  2. Step 2: Convert to fraction form
    748.13/1,121.86 = 401.41/x
  3. Step 3: Cross multiply
    748.13x = 1,121.86 × 401.41
  4. Step 4: Simplify right side
    748.13x = 450,325.82
  5. Step 5: Solve for x
    x = 450,325.82/748.13
  6. Step 6: Final answer
    x = 601.94

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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.