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Finding the Fourth Proportional to 1,469.24, 2,202.80 and 688.81

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Solution

The fourth proportional to 1,469.24, 2,202.80 and 688.81 is: 1,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.24 : 2,202.80 = 688.81 : x
  2. Step 2: Convert to fraction form
    1,469.24/2,202.80 = 688.81/x
  3. Step 3: Cross multiply
    1,469.24x = 2,202.80 × 688.81
  4. Step 4: Simplify right side
    1,469.24x = 1,517,306.88
  5. Step 5: Solve for x
    x = 1,517,306.88/1,469.24
  6. Step 6: Final answer
    x = 1,032.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.