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Finding the Fourth Proportional to 748.87, 1,033.54 and 429.97

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Solution

The fourth proportional to 748.87, 1,033.54 and 429.97 is: 593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.87 : 1,033.54 = 429.97 : x
  2. Step 2: Convert to fraction form
    748.87/1,033.54 = 429.97/x
  3. Step 3: Cross multiply
    748.87x = 1,033.54 × 429.97
  4. Step 4: Simplify right side
    748.87x = 444,389.95
  5. Step 5: Solve for x
    x = 444,389.95/748.87
  6. Step 6: Final answer
    x = 593.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.