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Finding the Fourth Proportional to 866.63, 1,291.92 and 853.31

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Solution

The fourth proportional to 866.63, 1,291.92 and 853.31 is: 1,272.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.63 : 1,291.92 = 853.31 : x
  2. Step 2: Convert to fraction form
    866.63/1,291.92 = 853.31/x
  3. Step 3: Cross multiply
    866.63x = 1,291.92 × 853.31
  4. Step 4: Simplify right side
    866.63x = 1,102,408.26
  5. Step 5: Solve for x
    x = 1,102,408.26/866.63
  6. Step 6: Final answer
    x = 1,272.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.