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Finding the Fourth Proportional to 993.27, 1,489.91 and 408.59

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Solution

The fourth proportional to 993.27, 1,489.91 and 408.59 is: 612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.27 : 1,489.91 = 408.59 : x
  2. Step 2: Convert to fraction form
    993.27/1,489.91 = 408.59/x
  3. Step 3: Cross multiply
    993.27x = 1,489.91 × 408.59
  4. Step 4: Simplify right side
    993.27x = 608,762.33
  5. Step 5: Solve for x
    x = 608,762.33/993.27
  6. Step 6: Final answer
    x = 612.89

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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.