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Finding the Fourth Proportional to 969.82, 1,338.36 and 527.73

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Solution

The fourth proportional to 969.82, 1,338.36 and 527.73 is: 728.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.82 : 1,338.36 = 527.73 : x
  2. Step 2: Convert to fraction form
    969.82/1,338.36 = 527.73/x
  3. Step 3: Cross multiply
    969.82x = 1,338.36 × 527.73
  4. Step 4: Simplify right side
    969.82x = 706,292.72
  5. Step 5: Solve for x
    x = 706,292.72/969.82
  6. Step 6: Final answer
    x = 728.27

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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.