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Finding the Fourth Proportional to 1,222.08, 1,686.48 and 698.12

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Solution

The fourth proportional to 1,222.08, 1,686.48 and 698.12 is: 963.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.08 : 1,686.48 = 698.12 : x
  2. Step 2: Convert to fraction form
    1,222.08/1,686.48 = 698.12/x
  3. Step 3: Cross multiply
    1,222.08x = 1,686.48 × 698.12
  4. Step 4: Simplify right side
    1,222.08x = 1,177,365.42
  5. Step 5: Solve for x
    x = 1,177,365.42/1,222.08
  6. Step 6: Final answer
    x = 963.41

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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.