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Finding the Fourth Proportional to 993.50, 1,490.24 and 408.82

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Solution

The fourth proportional to 993.50, 1,490.24 and 408.82 is: 613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.50 : 1,490.24 = 408.82 : x
  2. Step 2: Convert to fraction form
    993.50/1,490.24 = 408.82/x
  3. Step 3: Cross multiply
    993.50x = 1,490.24 × 408.82
  4. Step 4: Simplify right side
    993.50x = 609,239.92
  5. Step 5: Solve for x
    x = 609,239.92/993.50
  6. Step 6: Final answer
    x = 613.23

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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.