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Finding the Fourth Proportional to 969.73, 1,338.21 and 527.62

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Solution

The fourth proportional to 969.73, 1,338.21 and 527.62 is: 728.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.73 : 1,338.21 = 527.62 : x
  2. Step 2: Convert to fraction form
    969.73/1,338.21 = 527.62/x
  3. Step 3: Cross multiply
    969.73x = 1,338.21 × 527.62
  4. Step 4: Simplify right side
    969.73x = 706,057.03
  5. Step 5: Solve for x
    x = 706,057.03/969.73
  6. Step 6: Final answer
    x = 728.10

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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.