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Finding the Fourth Proportional to 1,222.92, 1,687.65 and 698.96

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Solution

The fourth proportional to 1,222.92, 1,687.65 and 698.96 is: 964.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.92 : 1,687.65 = 698.96 : x
  2. Step 2: Convert to fraction form
    1,222.92/1,687.65 = 698.96/x
  3. Step 3: Cross multiply
    1,222.92x = 1,687.65 × 698.96
  4. Step 4: Simplify right side
    1,222.92x = 1,179,591.41
  5. Step 5: Solve for x
    x = 1,179,591.41/1,222.92
  6. Step 6: Final answer
    x = 964.57

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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.