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Finding the Fourth Proportional to 1,604.22, 2,406.74 and 771.90

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Solution

The fourth proportional to 1,604.22, 2,406.74 and 771.90 is: 1,158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.22 : 2,406.74 = 771.90 : x
  2. Step 2: Convert to fraction form
    1,604.22/2,406.74 = 771.90/x
  3. Step 3: Cross multiply
    1,604.22x = 2,406.74 × 771.90
  4. Step 4: Simplify right side
    1,604.22x = 1,857,758.75
  5. Step 5: Solve for x
    x = 1,857,758.75/1,604.22
  6. Step 6: Final answer
    x = 1,158.04

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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.