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Finding the Fourth Proportional to 993.76, 1,490.62 and 409.03

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Solution

The fourth proportional to 993.76, 1,490.62 and 409.03 is: 613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.76 : 1,490.62 = 409.03 : x
  2. Step 2: Convert to fraction form
    993.76/1,490.62 = 409.03/x
  3. Step 3: Cross multiply
    993.76x = 1,490.62 × 409.03
  4. Step 4: Simplify right side
    993.76x = 609,698.80
  5. Step 5: Solve for x
    x = 609,698.80/993.76
  6. Step 6: Final answer
    x = 613.53

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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.