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Finding the Fourth Proportional to 993.30, 1,369.50 and 853.14

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Solution

The fourth proportional to 993.30, 1,369.50 and 853.14 is: 1,176.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    993.30 : 1,369.50 = 853.14 : x
  2. Step 2: Convert to fraction form
    993.30/1,369.50 = 853.14/x
  3. Step 3: Cross multiply
    993.30x = 1,369.50 × 853.14
  4. Step 4: Simplify right side
    993.30x = 1,168,375.23
  5. Step 5: Solve for x
    x = 1,168,375.23/993.30
  6. Step 6: Final answer
    x = 1,176.26

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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.