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Finding the Fourth Proportional to 1,772.84, 2,658.84 and 677.31

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Solution

The fourth proportional to 1,772.84, 2,658.84 and 677.31 is: 1,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.84 : 2,658.84 = 677.31 : x
  2. Step 2: Convert to fraction form
    1,772.84/2,658.84 = 677.31/x
  3. Step 3: Cross multiply
    1,772.84x = 2,658.84 × 677.31
  4. Step 4: Simplify right side
    1,772.84x = 1,800,858.92
  5. Step 5: Solve for x
    x = 1,800,858.92/1,772.84
  6. Step 6: Final answer
    x = 1,015.81

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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.