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Finding the Fourth Proportional to 993.66, 1,491.09 and 344.85

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Solution

The fourth proportional to 993.66, 1,491.09 and 344.85 is: 517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.66 : 1,491.09 = 344.85 : x
  2. Step 2: Convert to fraction form
    993.66/1,491.09 = 344.85/x
  3. Step 3: Cross multiply
    993.66x = 1,491.09 × 344.85
  4. Step 4: Simplify right side
    993.66x = 514,202.39
  5. Step 5: Solve for x
    x = 514,202.39/993.66
  6. Step 6: Final answer
    x = 517.48

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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.