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Finding the Fourth Proportional to 993.51, 1,489.95 and 819.73

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Solution

The fourth proportional to 993.51, 1,489.95 and 819.73 is: 1,229.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.51 : 1,489.95 = 819.73 : x
  2. Step 2: Convert to fraction form
    993.51/1,489.95 = 819.73/x
  3. Step 3: Cross multiply
    993.51x = 1,489.95 × 819.73
  4. Step 4: Simplify right side
    993.51x = 1,221,356.71
  5. Step 5: Solve for x
    x = 1,221,356.71/993.51
  6. Step 6: Final answer
    x = 1,229.34

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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.