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Finding the Fourth Proportional to 1,137.89, 1,704.10 and 771.57

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Solution

The fourth proportional to 1,137.89, 1,704.10 and 771.57 is: 1,155.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.89 : 1,704.10 = 771.57 : x
  2. Step 2: Convert to fraction form
    1,137.89/1,704.10 = 771.57/x
  3. Step 3: Cross multiply
    1,137.89x = 1,704.10 × 771.57
  4. Step 4: Simplify right side
    1,137.89x = 1,314,832.44
  5. Step 5: Solve for x
    x = 1,314,832.44/1,137.89
  6. Step 6: Final answer
    x = 1,155.50

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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.