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Finding the Fourth Proportional to 1,773.74, 2,660.45 and 733.09

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Solution

The fourth proportional to 1,773.74, 2,660.45 and 733.09 is: 1,099.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.74 : 2,660.45 = 733.09 : x
  2. Step 2: Convert to fraction form
    1,773.74/2,660.45 = 733.09/x
  3. Step 3: Cross multiply
    1,773.74x = 2,660.45 × 733.09
  4. Step 4: Simplify right side
    1,773.74x = 1,950,340.81
  5. Step 5: Solve for x
    x = 1,950,340.81/1,773.74
  6. Step 6: Final answer
    x = 1,099.57

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Why These Related Problems?

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