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Finding the Fourth Proportional to 748.49, 1,122.84 and 261.41

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Solution

The fourth proportional to 748.49, 1,122.84 and 261.41 is: 392.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.49 : 1,122.84 = 261.41 : x
  2. Step 2: Convert to fraction form
    748.49/1,122.84 = 261.41/x
  3. Step 3: Cross multiply
    748.49x = 1,122.84 × 261.41
  4. Step 4: Simplify right side
    748.49x = 293,515.99
  5. Step 5: Solve for x
    x = 293,515.99/748.49
  6. Step 6: Final answer
    x = 392.15

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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.