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Finding the Fourth Proportional to 748.20, 1,122.84 and 261.66

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Solution

The fourth proportional to 748.20, 1,122.84 and 261.66 is: 392.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.20 : 1,122.84 = 261.66 : x
  2. Step 2: Convert to fraction form
    748.20/1,122.84 = 261.66/x
  3. Step 3: Cross multiply
    748.20x = 1,122.84 × 261.66
  4. Step 4: Simplify right side
    748.20x = 293,802.31
  5. Step 5: Solve for x
    x = 293,802.31/748.20
  6. Step 6: Final answer
    x = 392.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.