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Finding the Fourth Proportional to 1,222, 1,686.36 and 698.05

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Solution

The fourth proportional to 1,222, 1,686.36 and 698.05 is: 963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222 : 1,686.36 = 698.05 : x
  2. Step 2: Convert to fraction form
    1,222/1,686.36 = 698.05/x
  3. Step 3: Cross multiply
    1,222x = 1,686.36 × 698.05
  4. Step 4: Simplify right side
    1,222x = 1,177,163.60
  5. Step 5: Solve for x
    x = 1,177,163.60/1,222
  6. Step 6: Final answer
    x = 963.31

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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.