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Finding the Fourth Proportional to 771.81, 1,157.06 and 277.92

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Solution

The fourth proportional to 771.81, 1,157.06 and 277.92 is: 416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.81 : 1,157.06 = 277.92 : x
  2. Step 2: Convert to fraction form
    771.81/1,157.06 = 277.92/x
  3. Step 3: Cross multiply
    771.81x = 1,157.06 × 277.92
  4. Step 4: Simplify right side
    771.81x = 321,568.73
  5. Step 5: Solve for x
    x = 321,568.73/771.81
  6. Step 6: Final answer
    x = 416.64

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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.