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Finding the Fourth Proportional to 748.29, 1,033.10 and 482.96

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Solution

The fourth proportional to 748.29, 1,033.10 and 482.96 is: 666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.29 : 1,033.10 = 482.96 : x
  2. Step 2: Convert to fraction form
    748.29/1,033.10 = 482.96/x
  3. Step 3: Cross multiply
    748.29x = 1,033.10 × 482.96
  4. Step 4: Simplify right side
    748.29x = 498,943.56
  5. Step 5: Solve for x
    x = 498,943.56/748.29
  6. Step 6: Final answer
    x = 666.78

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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.