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Finding the Fourth Proportional to 963.96, 1,326.88 and 853.24

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Solution

The fourth proportional to 963.96, 1,326.88 and 853.24 is: 1,174.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.96 : 1,326.88 = 853.24 : x
  2. Step 2: Convert to fraction form
    963.96/1,326.88 = 853.24/x
  3. Step 3: Cross multiply
    963.96x = 1,326.88 × 853.24
  4. Step 4: Simplify right side
    963.96x = 1,132,147.09
  5. Step 5: Solve for x
    x = 1,132,147.09/963.96
  6. Step 6: Final answer
    x = 1,174.48

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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.