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Finding the Fourth Proportional to 1,227.26, 1,693.28 and 853.82

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Solution

The fourth proportional to 1,227.26, 1,693.28 and 853.82 is: 1,178.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.26 : 1,693.28 = 853.82 : x
  2. Step 2: Convert to fraction form
    1,227.26/1,693.28 = 853.82/x
  3. Step 3: Cross multiply
    1,227.26x = 1,693.28 × 853.82
  4. Step 4: Simplify right side
    1,227.26x = 1,445,756.33
  5. Step 5: Solve for x
    x = 1,445,756.33/1,227.26
  6. Step 6: Final answer
    x = 1,178.04

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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.