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Finding the Fourth Proportional to 854.82, 1,179 and 697.68

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Solution

The fourth proportional to 854.82, 1,179 and 697.68 is: 962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.82 : 1,179 = 697.68 : x
  2. Step 2: Convert to fraction form
    854.82/1,179 = 697.68/x
  3. Step 3: Cross multiply
    854.82x = 1,179 × 697.68
  4. Step 4: Simplify right side
    854.82x = 822,564.72
  5. Step 5: Solve for x
    x = 822,564.72/854.82
  6. Step 6: Final answer
    x = 962.27

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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.