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Finding the Fourth Proportional to 1,204.32, 1,806.48 and 771.76

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Solution

The fourth proportional to 1,204.32, 1,806.48 and 771.76 is: 1,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.32 : 1,806.48 = 771.76 : x
  2. Step 2: Convert to fraction form
    1,204.32/1,806.48 = 771.76/x
  3. Step 3: Cross multiply
    1,204.32x = 1,806.48 × 771.76
  4. Step 4: Simplify right side
    1,204.32x = 1,394,169.00
  5. Step 5: Solve for x
    x = 1,394,169.00/1,204.32
  6. Step 6: Final answer
    x = 1,157.64

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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.