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Finding the Fourth Proportional to 969.73, 1,338.23 and 527.65

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Solution

The fourth proportional to 969.73, 1,338.23 and 527.65 is: 728.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.73 : 1,338.23 = 527.65 : x
  2. Step 2: Convert to fraction form
    969.73/1,338.23 = 527.65/x
  3. Step 3: Cross multiply
    969.73x = 1,338.23 × 527.65
  4. Step 4: Simplify right side
    969.73x = 706,115.03
  5. Step 5: Solve for x
    x = 706,115.03/969.73
  6. Step 6: Final answer
    x = 728.16

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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.