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Finding the Fourth Proportional to 766.55, 1,150.16 and 279.67

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Solution

The fourth proportional to 766.55, 1,150.16 and 279.67 is: 419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.55 : 1,150.16 = 279.67 : x
  2. Step 2: Convert to fraction form
    766.55/1,150.16 = 279.67/x
  3. Step 3: Cross multiply
    766.55x = 1,150.16 × 279.67
  4. Step 4: Simplify right side
    766.55x = 321,660.97
  5. Step 5: Solve for x
    x = 321,660.97/766.55
  6. Step 6: Final answer
    x = 419.62

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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.