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Finding the Fourth Proportional to 748.87, 1,033.41 and 417.31

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Solution

The fourth proportional to 748.87, 1,033.41 and 417.31 is: 575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.87 : 1,033.41 = 417.31 : x
  2. Step 2: Convert to fraction form
    748.87/1,033.41 = 417.31/x
  3. Step 3: Cross multiply
    748.87x = 1,033.41 × 417.31
  4. Step 4: Simplify right side
    748.87x = 431,252.33
  5. Step 5: Solve for x
    x = 431,252.33/748.87
  6. Step 6: Final answer
    x = 575.87

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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.