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Finding the Fourth Proportional to 748.12, 1,031.88 and 482.44

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Solution

The fourth proportional to 748.12, 1,031.88 and 482.44 is: 665.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.12 : 1,031.88 = 482.44 : x
  2. Step 2: Convert to fraction form
    748.12/1,031.88 = 482.44/x
  3. Step 3: Cross multiply
    748.12x = 1,031.88 × 482.44
  4. Step 4: Simplify right side
    748.12x = 497,820.19
  5. Step 5: Solve for x
    x = 497,820.19/748.12
  6. Step 6: Final answer
    x = 665.43

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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.