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Finding the Fourth Proportional to 748.35, 1,122.38 and 382.85

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Solution

The fourth proportional to 748.35, 1,122.38 and 382.85 is: 574.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.35 : 1,122.38 = 382.85 : x
  2. Step 2: Convert to fraction form
    748.35/1,122.38 = 382.85/x
  3. Step 3: Cross multiply
    748.35x = 1,122.38 × 382.85
  4. Step 4: Simplify right side
    748.35x = 429,695.66
  5. Step 5: Solve for x
    x = 429,695.66/748.35
  6. Step 6: Final answer
    x = 574.19

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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.