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Finding the Fourth Proportional to 1,772.79, 2,660.24 and 732.80

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Solution

The fourth proportional to 1,772.79, 2,660.24 and 732.80 is: 1,099.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.79 : 2,660.24 = 732.80 : x
  2. Step 2: Convert to fraction form
    1,772.79/2,660.24 = 732.80/x
  3. Step 3: Cross multiply
    1,772.79x = 2,660.24 × 732.80
  4. Step 4: Simplify right side
    1,772.79x = 1,949,417.39
  5. Step 5: Solve for x
    x = 1,949,417.39/1,772.79
  6. Step 6: Final answer
    x = 1,099.63

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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.