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Finding the Fourth Proportional to 1,222.88, 1,687.57 and 698.91

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Solution

The fourth proportional to 1,222.88, 1,687.57 and 698.91 is: 964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.88 : 1,687.57 = 698.91 : x
  2. Step 2: Convert to fraction form
    1,222.88/1,687.57 = 698.91/x
  3. Step 3: Cross multiply
    1,222.88x = 1,687.57 × 698.91
  4. Step 4: Simplify right side
    1,222.88x = 1,179,459.55
  5. Step 5: Solve for x
    x = 1,179,459.55/1,222.88
  6. Step 6: Final answer
    x = 964.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.