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Finding the Fourth Proportional to 748.58, 1,122.93 and 337.91

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Solution

The fourth proportional to 748.58, 1,122.93 and 337.91 is: 506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.58 : 1,122.93 = 337.91 : x
  2. Step 2: Convert to fraction form
    748.58/1,122.93 = 337.91/x
  3. Step 3: Cross multiply
    748.58x = 1,122.93 × 337.91
  4. Step 4: Simplify right side
    748.58x = 379,443.66
  5. Step 5: Solve for x
    x = 379,443.66/748.58
  6. Step 6: Final answer
    x = 506.89

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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.