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Finding the Fourth Proportional to 749.12, 1,033.80 and 417.62

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Solution

The fourth proportional to 749.12, 1,033.80 and 417.62 is: 576.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.12 : 1,033.80 = 417.62 : x
  2. Step 2: Convert to fraction form
    749.12/1,033.80 = 417.62/x
  3. Step 3: Cross multiply
    749.12x = 1,033.80 × 417.62
  4. Step 4: Simplify right side
    749.12x = 431,738.14
  5. Step 5: Solve for x
    x = 431,738.14/749.12
  6. Step 6: Final answer
    x = 576.33

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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.