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Finding the Fourth Proportional to 911.36, 1,257.80 and 689.96

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Solution

The fourth proportional to 911.36, 1,257.80 and 689.96 is: 952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.36 : 1,257.80 = 689.96 : x
  2. Step 2: Convert to fraction form
    911.36/1,257.80 = 689.96/x
  3. Step 3: Cross multiply
    911.36x = 1,257.80 × 689.96
  4. Step 4: Simplify right side
    911.36x = 867,831.69
  5. Step 5: Solve for x
    x = 867,831.69/911.36
  6. Step 6: Final answer
    x = 952.24

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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.