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Finding the Fourth Proportional to 1,221.44, 1,685.52 and 697.56

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Solution

The fourth proportional to 1,221.44, 1,685.52 and 697.56 is: 962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.44 : 1,685.52 = 697.56 : x
  2. Step 2: Convert to fraction form
    1,221.44/1,685.52 = 697.56/x
  3. Step 3: Cross multiply
    1,221.44x = 1,685.52 × 697.56
  4. Step 4: Simplify right side
    1,221.44x = 1,175,751.33
  5. Step 5: Solve for x
    x = 1,175,751.33/1,221.44
  6. Step 6: Final answer
    x = 962.59

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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.