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Finding the Fourth Proportional to 971.22, 1,342.18 and 863.22

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Solution

The fourth proportional to 971.22, 1,342.18 and 863.22 is: 1,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.22 : 1,342.18 = 863.22 : x
  2. Step 2: Convert to fraction form
    971.22/1,342.18 = 863.22/x
  3. Step 3: Cross multiply
    971.22x = 1,342.18 × 863.22
  4. Step 4: Simplify right side
    971.22x = 1,158,596.62
  5. Step 5: Solve for x
    x = 1,158,596.62/971.22
  6. Step 6: Final answer
    x = 1,192.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.