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Finding the Fourth Proportional to 1,771.32, 2,657.88 and 676.38

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Solution

The fourth proportional to 1,771.32, 2,657.88 and 676.38 is: 1,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.32 : 2,657.88 = 676.38 : x
  2. Step 2: Convert to fraction form
    1,771.32/2,657.88 = 676.38/x
  3. Step 3: Cross multiply
    1,771.32x = 2,657.88 × 676.38
  4. Step 4: Simplify right side
    1,771.32x = 1,797,736.87
  5. Step 5: Solve for x
    x = 1,797,736.87/1,771.32
  6. Step 6: Final answer
    x = 1,014.91

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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.