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Finding the Fourth Proportional to 748.65, 1,033.05 and 417.09

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Solution

The fourth proportional to 748.65, 1,033.05 and 417.09 is: 575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.65 : 1,033.05 = 417.09 : x
  2. Step 2: Convert to fraction form
    748.65/1,033.05 = 417.09/x
  3. Step 3: Cross multiply
    748.65x = 1,033.05 × 417.09
  4. Step 4: Simplify right side
    748.65x = 430,874.82
  5. Step 5: Solve for x
    x = 430,874.82/748.65
  6. Step 6: Final answer
    x = 575.54

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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.