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Finding the Fourth Proportional to 993.88, 1,491.30 and 446.44

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Solution

The fourth proportional to 993.88, 1,491.30 and 446.44 is: 669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.88 : 1,491.30 = 446.44 : x
  2. Step 2: Convert to fraction form
    993.88/1,491.30 = 446.44/x
  3. Step 3: Cross multiply
    993.88x = 1,491.30 × 446.44
  4. Step 4: Simplify right side
    993.88x = 665,775.97
  5. Step 5: Solve for x
    x = 665,775.97/993.88
  6. Step 6: Final answer
    x = 669.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.