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Finding the Fourth Proportional to 993.05, 1,489.58 and 335.66

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Solution

The fourth proportional to 993.05, 1,489.58 and 335.66 is: 503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.05 : 1,489.58 = 335.66 : x
  2. Step 2: Convert to fraction form
    993.05/1,489.58 = 335.66/x
  3. Step 3: Cross multiply
    993.05x = 1,489.58 × 335.66
  4. Step 4: Simplify right side
    993.05x = 499,983.30
  5. Step 5: Solve for x
    x = 499,983.30/993.05
  6. Step 6: Final answer
    x = 503.49

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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.