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Finding the Fourth Proportional to 754.21, 1,123.45 and 744.49

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Solution

The fourth proportional to 754.21, 1,123.45 and 744.49 is: 1,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.21 : 1,123.45 = 744.49 : x
  2. Step 2: Convert to fraction form
    754.21/1,123.45 = 744.49/x
  3. Step 3: Cross multiply
    754.21x = 1,123.45 × 744.49
  4. Step 4: Simplify right side
    754.21x = 836,397.29
  5. Step 5: Solve for x
    x = 836,397.29/754.21
  6. Step 6: Final answer
    x = 1,108.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.