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Finding the Fourth Proportional to 748.64, 1,123.04 and 337.84

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Solution

The fourth proportional to 748.64, 1,123.04 and 337.84 is: 506.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.64 : 1,123.04 = 337.84 : x
  2. Step 2: Convert to fraction form
    748.64/1,123.04 = 337.84/x
  3. Step 3: Cross multiply
    748.64x = 1,123.04 × 337.84
  4. Step 4: Simplify right side
    748.64x = 379,405.87
  5. Step 5: Solve for x
    x = 379,405.87/748.64
  6. Step 6: Final answer
    x = 506.79

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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.