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Finding the Fourth Proportional to 993.20, 1,367.69 and 853.07

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Solution

The fourth proportional to 993.20, 1,367.69 and 853.07 is: 1,174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.20 : 1,367.69 = 853.07 : x
  2. Step 2: Convert to fraction form
    993.20/1,367.69 = 853.07/x
  3. Step 3: Cross multiply
    993.20x = 1,367.69 × 853.07
  4. Step 4: Simplify right side
    993.20x = 1,166,724.20
  5. Step 5: Solve for x
    x = 1,166,724.20/993.20
  6. Step 6: Final answer
    x = 1,174.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.