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Finding the Fourth Proportional to 1,222.07, 1,686.42 and 698.06

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Solution

The fourth proportional to 1,222.07, 1,686.42 and 698.06 is: 963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.07 : 1,686.42 = 698.06 : x
  2. Step 2: Convert to fraction form
    1,222.07/1,686.42 = 698.06/x
  3. Step 3: Cross multiply
    1,222.07x = 1,686.42 × 698.06
  4. Step 4: Simplify right side
    1,222.07x = 1,177,226.56
  5. Step 5: Solve for x
    x = 1,177,226.56/1,222.07
  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.