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Finding the Fourth Proportional to 748.89, 1,033.43 and 417.31

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Solution

The fourth proportional to 748.89, 1,033.43 and 417.31 is: 575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.89 : 1,033.43 = 417.31 : x
  2. Step 2: Convert to fraction form
    748.89/1,033.43 = 417.31/x
  3. Step 3: Cross multiply
    748.89x = 1,033.43 × 417.31
  4. Step 4: Simplify right side
    748.89x = 431,259.13
  5. Step 5: Solve for x
    x = 431,259.13/748.89
  6. Step 6: Final answer
    x = 575.86

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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.