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Finding the Fourth Proportional to 748.99, 1,033.62 and 417.44

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Solution

The fourth proportional to 748.99, 1,033.62 and 417.44 is: 576.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.99 : 1,033.62 = 417.44 : x
  2. Step 2: Convert to fraction form
    748.99/1,033.62 = 417.44/x
  3. Step 3: Cross multiply
    748.99x = 1,033.62 × 417.44
  4. Step 4: Simplify right side
    748.99x = 431,474.33
  5. Step 5: Solve for x
    x = 431,474.33/748.99
  6. Step 6: Final answer
    x = 576.07

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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.