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Finding the Fourth Proportional to 994.10, 1,372.22 and 853.65

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Solution

The fourth proportional to 994.10, 1,372.22 and 853.65 is: 1,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.10 : 1,372.22 = 853.65 : x
  2. Step 2: Convert to fraction form
    994.10/1,372.22 = 853.65/x
  3. Step 3: Cross multiply
    994.10x = 1,372.22 × 853.65
  4. Step 4: Simplify right side
    994.10x = 1,171,397.67
  5. Step 5: Solve for x
    x = 1,171,397.67/994.10
  6. Step 6: Final answer
    x = 1,178.35

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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.