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Finding the Fourth Proportional to 886.44, 1,326.42 and 864.84

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Solution

The fourth proportional to 886.44, 1,326.42 and 864.84 is: 1,294.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.44 : 1,326.42 = 864.84 : x
  2. Step 2: Convert to fraction form
    886.44/1,326.42 = 864.84/x
  3. Step 3: Cross multiply
    886.44x = 1,326.42 × 864.84
  4. Step 4: Simplify right side
    886.44x = 1,147,141.07
  5. Step 5: Solve for x
    x = 1,147,141.07/886.44
  6. Step 6: Final answer
    x = 1,294.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.