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Finding the Fourth Proportional to 969.86, 1,447.34 and 866.06

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Solution

The fourth proportional to 969.86, 1,447.34 and 866.06 is: 1,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.86 : 1,447.34 = 866.06 : x
  2. Step 2: Convert to fraction form
    969.86/1,447.34 = 866.06/x
  3. Step 3: Cross multiply
    969.86x = 1,447.34 × 866.06
  4. Step 4: Simplify right side
    969.86x = 1,253,480.79
  5. Step 5: Solve for x
    x = 1,253,480.79/969.86
  6. Step 6: Final answer
    x = 1,292.43

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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.